1) A number of two digits is increased by 9. When the digits are reversed, the sum of the digit is 5. Find the number.

2) A number of two digits is such that twice the tens digit is 8 less than seven times the unit digit. When the digits are reversed, the number is decreased by 9. What is the number?

3) A number is such that thrice it is 14 less than five times the number. Find the number.

4) The tens digit of a two-digit number is 3 greater than the units digit. When the digits are reversed, the number is reduced by 27. What is the number?

5) if i invest #3000 at x% and #4000 at y%, my annual income is #290. If i had invested #600 at x% and #700 at y % my income would have been #53. Find x and y.

This is simultaneous equations.
how much will you pay let me give my student to solve it

1. Two digits, a & b
then
10a+b = "the number"
:
Write an equation for each statement:
:
a number of two digits is increased by 9.
10a + b + 9
When the digits are reversed,
10a + b + 9 = 10b + a
10a - a + 9 = 10b - b
9a + 9 = 9b
divide by 9
a + 1 = b
a - b = -1
"the sum of the digit is 5"
a + b = 5
:
Use elimination
a - b = -1
a + b = 5
------------Adding eliminates b, find a
2a = 4
a = 2
Find b
2 + b = 5
b = 3
23 is the original number, add 9 you get 32, reversed digits, add up to 5

I no get time for the rest.
Let someone else do it.

Alhajiemeritus:
1. Two digits, a & b
then
10a+b = "the number"
:
Write an equation for each statement:
:
a number of two digits is increased by 9.
10a + b + 9
When the digits are reversed,
10a + b + 9 = 10b + a
10a - a + 9 = 10b - b
9a + 9 = 9b
divide by 9
a + 1 = b
a - b = -1
"the sum of the digit is 5"
a + b = 5
:
Use elimination
a - b = -1
a + b = 5
------------Adding eliminates b, find a
2a = 4
a = 2
Find b
2 + b = 5
b = 3
23 is the original number, add 9 you get 32, reversed digits, add up to 5

I no get time for the rest.
Let someone else do it.

Waooo..thanks sir

Mrshape:
This is simultaneous equations.
how much will you pay let me give my student to solve it

Your students?? Are you that good?

Answer to No.2
let the tens digit be x, and the unit digit be y
So the number is 10x + y,
the number reversed is 10y + x

10x+y - (10y+x) = 9
9x - 9y = 9
x - y = 1 or x = y+1 **

2x = 7y-8
sub in **
2(y+1) = 7y - 8
2y + 2 = 7y - 8
-5y = -10
y = 2

The number is 32

check:
the number reversed is 23, which is 9 less than 32.
Twice the ten digit is 6
7 times the unit digit = 14, which is 8 less than 6

reccy:


Your students?? Are you that good?

They are work in progress.
But those questions are cheap.
No5, y=5 x=3
By metal work that one no even involve paper work

Mrshape:

They are work in progress.
But those questions are cheap.
No5, y=5 x=3
By metal work that one no even involve paper work

interesting..... So, let me see what is in the store from you.

Answer to No. 3
Let the unknown number be A
3A=5A-14
14=5A-3A
14=2A
Divide through by 2
A=7
Replacing 'A' in the question
3x7=21
5x7=35
Thus, 35-14=21

No 5
X% of 3000 + y% of 4000= 290...(1)
X% of600 +y% of 700 = 53..(1)

Resolving.. (1) gives
30x + 40 y= 290..(3)
Resolving.. (2) gives
6x + 7y = 53..(4)
From.. (4)
X= ((53-7y)/6)
Sub for x in (3)
30((53-7y)/6) +40y= 290
1590-210y+240y=1740
30y=150
Y= 5

Sub for y in 4
6x+ 7(5)= 53
6x + 35 = 53
X = 18/6
=3

1.

let x be the number
let a be tens digit of x increased by 9
let b be unit digit of x increased by 9

a + b = 5
a = 5 - b
b = 5 - a
x = 10a + b - 9 = 9a - 4 = 41 - 9b

Test for x = 10 <= x <= 90
x = 14, a = 2, b = 3
x = 23, a = 3, b = 2
x = 32, a = 4, b = 1
x = 41, a = 5, b = 0

x is valid for 14, 23, 32 and 41




2.

let x be the number
let a be the tens digit of x
let b be the unit digit of x

2a = 7b - 8
a = ( 7b - 8 ) / 2
b = ( 2a + 8 ) / 7
x = 10a + b

Test for 10 <= x <= 99
x = 40, a = (-)4, b = 0

x = 40;




3.

let x be the number
5x - 3x = 14
2x = 14

x = 7




4.

let x be the number
let a be the tens digit of x
let b be the unit digit of x
let y be x reversed

a - b = 3
a = b + 3
b = a - 3
x = 10a + b = 11b + 30 = 11a - 3
y = 10b + a = 11a - 30 = 11b + 3
x - y = 27

Test for 10 <= x <= 99
x = 30, y = 3, a = 3, b = 0
x = 41, y = 14, a = 4, b = 1
x = 52, y = 25, a = 5, b = 2
x = 63, y = 36, a = 6, b = 3
x = 74, y = 47, a = 7, b = 4
x = 85, y = 58, a = 8, b = 5
x = 96, y = 69, a = 9, b = 6

x is valid for 30, 41, 52, 63, 74, 85 and 96




5.

Can't make any sense out of this

The answer for the question (2) is... 32

The answer for question (1) is... 23

The answer for question (3) is... 7

The answer for question (4) is... 30


The answer for question (5) is... 8 Naira

reccy:
1) A number of two digits is increased by 9. When the digits are reversed, the sum of the digit is 5. Find the number.

2) A number of two digits is such that twice the tens digit is 8 less than seven times the unit digit. When the digits are reversed, the number is decreased by 9. What is the number?

3) A number is such that thrice it is 14 less than five times the number. Find the number.

4) The tens digit of a two-digit number is 3 greater than the units digit. When the digits are reversed, the number is reduced by 27. What is the number?

5) if i invest #3000 at x% and #4000 at y%, my annual income is #290. If i had invested #600 at x% and #700 at y % my income would have been #53. Find x and y.

For number 1

Alhajiemeritus:
1. Two digits, a & b
then
10a+b = "the number"
:
Write an equation for each statement:
:
a number of two digits is increased by 9.
10a + b + 9
When the digits are reversed,
10a + b + 9 = 10b + a
10a - a + 9 = 10b - b
9a + 9 = 9b
divide by 9
a + 1 = b
a - b = -1
"the sum of the digit is 5"
a + b = 5
:
Use elimination
a - b = -1
a + b = 5
------------Adding eliminates b, find a
2a = 4
a = 2
Find b
2 + b = 5
b = 3
23 is the original number, add 9 you get 32, reversed digits, add up to 5

I no get time for the rest.
Let someone else do it.

You copied someone else's solution. You think we don't know..... You asked google and you copied and pasted the first result. Lolz..

The question 1 answer can be 23 and 32.
It can also be 14 and 23 as well as 32 and 41 and 41 and 50

reccy:
1) A number of two digits is increased by 9. When the digits are reversed, the sum of the digit is 5. Find the number.

2) A number of two digits is such that twice the tens digit is 8 less than seven times the unit digit. When the digits are reversed, the number is decreased by 9. What is the number?

3) A number is such that thrice it is 14 less than five times the number. Find the number.

4) The tens digit of a two-digit number is 3 greater than the units digit. When the digits are reversed, the number is reduced by 27. What is the number?

5) if i invest #3000 at x% and #4000 at y%, my annual income is #290. If i had invested #600 at x% and #700 at y % my income would have been #53. Find x and y.

No 2

Let the tens digit be a and the unit digit be b.
Twice the tens digit= 2a
Is 8 less than 7 times the unit digit which is 7b
2a = 7b - 8
When the digits are reversed is 10b + a= 10a+b-9

2a=7b-8.....1
10b+a=10a+b-9..….2

From equ 2

9b-9a=-9 x -2
7b-2a=8 x 9
-18b+18a=18...4
63b-18a=72....5
Add equ 4 and 5
45b=90
b= 90/45= 2
From equ4

-36+18a=36
a= 72/18= 3

So, ab =32

reccy:
1) A number of two digits is increased by 9. When the digits are reversed, the sum of the digit is 5. Find the number.

2) A number of two digits is such that twice the tens digit is 8 less than seven times the unit digit. When the digits are reversed, the number is decreased by 9. What is the number?

3) A number is such that thrice it is 14 less than five times the number. Find the number.

4) The tens digit of a two-digit number is 3 greater than the units digit. When the digits are reversed, the number is reduced by 27. What is the number?

5) if i invest #3000 at x% and #4000 at y%, my annual income is #290. If i had invested #600 at x% and #700 at y % my income would have been #53. Find x and y.

No 3

A number, such that thrice it.. 3(10x+y)= 5(10x+y)-14.....1

30x+3y= 50x+5y-14....2
20x+2yy=14.....3
Divide all through by 2
10x+y=7

The number (10+y)= 7

Ans = 7

reccy:
1) A number of two digits is increased by 9. When the digits are reversed, the sum of the digit is 5. Find the number.

2) A number of two digits is such that twice the tens digit is 8 less than seven times the unit digit. When the digits are reversed, the number is decreased by 9. What is the number?

3) A number is such that thrice it is 14 less than five times the number. Find the number.

4) The tens digit of a two-digit number is 3 greater than the units digit. When the digits are reversed, the number is reduced by 27. What is the number?

5) if i invest #3000 at x% and #4000 at y%, my annual income is #290. If i had invested #600 at x% and #700 at y % my income would have been #53. Find x and y.

Number 1: there are four of those numbers:
1. 14 + 9 = 23
2. 23 + 9 = 32
3. 32 + 9 = 41
4. 41 + 9 = 50

If you add those answers, either reversed or not, their summations give 5.
Mathematics is fun, you will also notice previous result serves as the new number as in boldes.

I'm too lazy to work that out, but my wizard I created with my own hand did that in less than 1.5seconds.

I don't have time for other questions now.

reccy:
1) A number of two digits is increased by 9. When the digits are reversed, the sum of the digit is 5. Find the number.

2) A number of two digits is such that twice the tens digit is 8 less than seven times the unit digit. When the digits are reversed, the number is decreased by 9. What is the number?

3) A number is such that thrice it is 14 less than five times the number. Find the number.

4) The tens digit of a two-digit number is 3 greater than the units digit. When the digits are reversed, the number is reduced by 27. What is the number?

5) if i invest #3000 at x% and #4000 at y%, my annual income is #290. If i had invested #600 at x% and #700 at y % my income would have been #53. Find x and y.

Question 1: there are four of those numbers:

1. 14 + 9 = 23
2. 23 + 9 = 32
3. 32 + 9 = 41
4. 41 + 9 = 50

If you add those answers, either reversed or not, their summations give 5.
Mathematics is fun, you will also notice that previous result serve as the new number, as in bolded until 50, what does that imply?.

I'm too lazy to work that out, but my wizard I created with my own hand did that in less than 1.5seconds.

I don't have time for other questions now.

To be a good mathematician, you need to have a good command of English. The people who have solved question 1 only did so because they've probably come across questions like that in their secondary school, and so used their experience to predict how the word problem should be solved. The period added before the "When", doesn't make it solvable.

superstel:
Answer to No. 3 Let the unknown number be A 3A=5A-14 14=5A-3A 14=2A Divide through by 2 A=7 Replacing 'A' in the question 3x7=21 5x7=35 Thus, 35-14=21

cool