Divide 41 into two positive parts such that difference of their squares is 369.

 Let one of the numbers be x
Therefore, the other number = (41 - x)

According to given condition,

x² - (41 - x)² = 369
x² - 1681 - x² + 82x = 369
82x = 2050

x = 25 

One no. is 25 and the other no. is (41-25) = 16. ANS.