Question

The product of two even consecutive integers is 360. Find all such numbers.

Answer 1

Answer:

18 and 20

Step-by-step explanation:

Define x:

Let one of the number be x

The other number is (x + 2)

Solve x:

x(x + 2) = 360

x² + 2x = 360

x² + 2x - 360 = 0

(x - 18)(x + 20) = 0

x = 18 or x = -20 (neglect negative)

Find the two numbers:

One number = x = 18

Other number = x + 2 = 18 + 2 = 20

Answer: The two numbers are 18 and 20