Question 946914
x = larger integer
y = smaller integer


x = 2y + 5
x^2 + y^2 = 185


Substitute the first equation into the second equation.


(2y - 5)^2 + y^2 = 185
(4y^2 - 20y + 25) + y^2 = 185
5y^2 - 20y - 160 = 0
y^2 - 4y - 32 = 0
(y + 8)(y - 4) = 0


The integers are positive, so y = 4.


The integers are x = 13 or y = 4.