Question

What is the greater of two numbers whoseproduct is 900. If the sum of two numbersexceeds their difference by 30? (A) 15 (B) 60 (C) 75 (D) 90

Answer 1

(B) 60

Explanation:

x × y = 900

x + y = x - y + 30

the second equation gives us

y = -y + 30

2y = 30

y = 15

and using that in the first equation :

x × 15 = 900

x = 900/15 = 60

the greater number is 60.