Integers Properties

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BTGmoderatorRO: Moderator; Posts: 772; Joined: Wed Aug 30, 2017 6:29 pm; Followed by:6 members

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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Source: Beat The GMAT — Problem Solving | Sun Jan 14, 2018 8:02 am

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Brent@GMATPrepNow: GMAT Instructor; Posts: 16207; Joined: Mon Dec 08, 2008 6:26 pm; Location: Vancouver, BC; Thanked: 5254 times; Followed by:1268 members; GMAT Score:770

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