What is the greater of the two numbers whose product is 900, if the sum of the two numbers exceeds their difference by 30?

A 15

B 60

C 75

D 90

Correct Answer: Option B

let's write the information as equations: xy = 900 (x + y) - (x - y) = 30, from which we can immediately see that x + y - x + y = 30 or <