The product of two numbers is 108 and the sum of their squares is 225. The difference of the number is:
(A) 5
(B) 4
(C) 3
(D) None of these
Answer: (C)
Explanation:
Let the numbers be x and y. Then xy = 108 and x2 + y2 = 225 (x –y)2 = x2 + y2 – 2xy (x –y)2 = 225 – 216 (x –y)2 = 9 Therefore (x –y) = 3