Question

The product of two numbers is 436 and the sum of their squares is 186. The difference of the numbers is:

Answer 1

:
Let the numbers be x and y.
Then, xy = 186 and x2 + y2 = 436.
=> (x - y)2 = x2 + y2 - 2xy
= 436 - (2 x 186)
= 64
=> x - y = SQRT(64)
= 8.