Question 981830
x and x-3 are the numbers.
x^2+(x-3)^2=117
x^2+x^2-6x+9=117
2x^2-6x-108=0
x^2-3x-54=0
(x+6)(x-9)=0
positive number is 9
other is 6.
The sum of squares is 81+36=117.

The larger is 9.