Integers Properties

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Integers Properties

by BTGmoderatorRO » Sun Jan 14, 2018 8:02 am
If x and y are positive integers and$$^{x^2}$$ + $$^{y^2}$$=100$^{x^2}$$+ $$^{y^2}$$=100, then the greatest possible value of x is between
(A) 4 and 5
(B) 6 and 7
(C) 7 and 8
(D) 9 and 10
(E) 10 and 11

OA is E
What is the mathematical approach to solve this question? I will employ the work of Expert.Thanks
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by Brent@GMATPrepNow » Sun Jan 14, 2018 8:15 am
Roland2rule wrote:If x and y are positive integers and$$^{x^2}$$ + $$^{y^2}$$=100$^{x^2}$$+ $$^{y^2}$$=100, then the greatest possible value of x is between
(A) 4 and 5
(B) 6 and 7
(C) 7 and 8
(D) 9 and 10
(E) 10 and 11

OA is E
What is the mathematical approach to solve this question? I will employ the work of Expert.Thanks
I think the formatting is a little off here :-)

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
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