₦airaland Forum

Who can solve this simple problem?
Let n > 100 be an integer. Ivan writes the numbers n, n + 1, . . . , 2n each on different
cards. He then shuffles these n + 1 cards, and divides them into two piles. Prove that at least one of
the piles contains two cards such that the sum of their numbers is a perfect square.

Lixusheng:
Who can solve this simple problem?
Let n > 100 be an integer. Ivan writes the numbers n, n + 1, . . . , 2n each on different
cards. He then shuffles these n + 1 cards, and divides them into two piles. Prove that at least one of
the piles contains two cards such that the sum of their numbers is a perfect square.

Is it an assignment they gave to you?
Guy don't worry, you need to just Tag the MODs to push it to front page, na nairaland you dey, men go run am for you and you go still see people wey go mark am for this nairaland.
As for me I will have to take some time to fresh my memory and I might still fail, maths was never my favourite course, we just try to do our best to pass am.

Lixusheng:
Prove that at least one of
the piles contains two cards such that the sum of their numbers is a perfect square.

100,000 naira if you can Solve this...

PERFECT Square divided by P Square = X
Find X

superCleanworks:
100,000 naira if you can Solve this...

PERFECT Square divided by P Square = X
Find X

X is 1. Will you give me the #100k?

fattprince:
X is 1. Will you give me the #100k?

are you sure you went to school?
so you don't know you are supposed to show working and plot graph?

superCleanworks:
are you sure you went to school?
so you don't know you are supposed to show working and plot graph?

Yeah, I do. Infact I'm in the University right now. So is my answer right or wrong?
And are you gonna pay me if it's right? fini

superCleanworks:
are you sure you went to school?
so you don't know you are supposed to show working and plot graph?

oga pay the guy joor

Ahmback:
oga pay the guy joor

Solve am make i pay you. Abi you dey forbid tp win money?