The product of two consecutive even numbers is 960. What are the two numbers?

Question

The two concsecutive numbers are even and the product is 960.

Answer 1

Let first number = x

Consecutive number = x+2

x(x+2) = 960

x^2+2x-960 = 0

x^2+32x-30x-960 = 0

x(x+32)-30(x+32) = 0

x+32 = 0

Subtract 32 from each side.

x = -32

x-30 = 0

Add 30 to each side.

x = 30

If x = 30 second number is 32.

If x = -32 second number is -30.