SOLUTION: one number is 7 more than another and its square is 77 more than the square of the smaller number.what are the numbers?

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Question 641699: one number is 7 more than another and its square is 77 more than the square of the smaller number.what are the numbers?
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

one number x is 7 more than another number y;
x=y%2B7.........1
and its square x%5E2is 77 more than the square of the smaller y%5E2
x%5E2=y%5E2%2B77...............2
_______________________________
x=y%2B7.........1
x%5E2=y%5E2%2B77...............2.....solve the system
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x=y%2B7.........1...plug in 2 and solve for y
%28y%2B7%29%5E2=y%5E2%2B77...............2

y%5E2%2B14y%2B49=y%5E2%2B77

cross%28y%5E2%29%2B14y=cross%28y%5E2%29%2B77-49
14y=28
y=28%2F14
highlight%28y=2%29...now find x
x=2%2B7.........1
highlight%28x=9%29