Question

The product of two consecutive even numbers is 440. What are the two numbers?

Answer 1

20&22

Explanation:

let the numbers be X and X+2.

By question, X×(X+2)=440

or, X^2+2X=440

or, X^2+2X-440=0

or, X^2+(22-20)X-440=0

or, X^2+22X-20X-440=0

or, X(X+22)-20(X+22)=0

or, (X+22)(X-20)=0

Either,X-20=0 Or, X+22=0

•°•X=20(true) •°• X=-22(false)

•°•X=20

•°•X+2=20+2=22

•°• The two consecutive even numbers are 20 and 22.