What is the greater of two number whose product is 90, if sum of these two numbers exceeds their difference by 30 ?
A
15
B
60
C
75
D
90
Correct Answer: 15
Let the numbers be p and q . where p > q.According to the question,(p + q) – (p – q) = 30⇒ p + q – p + q = 30⇒ 2q = 30 ⇒ q = 30 = 15 2 ∴ pq = 900⇒ 15p = 900 ⇒ p = 900/15 = 60