Question

The product of two composite numbers is 96 and their quotient is 6. What is the smaller number?

Answer 1

4

Explanation:

let x < y

1) xy = 96

2) y/x = 6

solve equation 2) for y, then substitute into equation 1)

y = 6x

x(6x) = 96

6x² = 96

x² = 96/6 = 16

x = √16 = 4

now solve for y

y/4 = 6

y = 6(4) = 24

The smaller number, x, therefore is 4

Check answers: 24 x 4 = 96

24/4 = 6

answers are correct