Question

If
Ais a fifty-element subset of the set{1,2,3,...,100}such that no two numbers from
Aadd
up to 100 show that A contains a square.

Answer 1

@jessica.17 hELP ME mADAM

Answer 2

i can help

Answer 3

but im afraid i will spam :(

Answer 4

Sorry i can't help

Answer 5

oK Help me now.

Answer 6

what grade are you in?

Answer 7

Take a pair of numbers to be two that add up to 100, say, 1 & 99.
Squares are involved in 8 of the 49 pairs of numbers (50 & 100 aren't included). Subset of 50 numbers: worst case scenario you can use the number 50, which leaves 49 numbers. You can only use 1 number from each pair, else there'll be two that add to 100.

But there's something different about one of the pairs of numbers containing square number(s) (pairs as in 1 & 99, 4 & 96 etc.). :)

Answer 8

he already closed the question

Answer 9

Oh didn't see that, sorry. But anyway thanks for posting these questions, they're great fun.