if x and y are positive integers such that 5x + 3y = 100, what is the greatest possible value of xy?

ANotSmartPerson Apr 4, 2019

#1**+3 **

*if x and y are positive integers such that 5x + 3y = 100, *

*what is the greatest possible value of xy?*

The greatest possible product would be if x and y are the same value so let's try that.

If x = y then 5x + 3y = 8x = 100 which ends up making x =12**.**5 which is not an integer.

Let's move away 1 unit and try x = 11

That would give us 5x = 55 and therefore 3y = 45 ...... that'll work

So, if I'm right x = 11

y = 15

therefore **xy = 165**

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Guest Apr 4, 2019