Question

Divide 41 into two positive parts of the difference of their squares is 369

Answer 1

x+y=41. -(1)
x^2-y^2=369. -(2)
where x>y
from equation (2)
(x+y)(x-y)=369
41(x-y)=369
x-y=9. -(3)
adding equation (1) and (3), we get
2x=50
x=25
so, y=25-9
y=16