Find three consecutive even integers such as that the sum of the first plus four times the second and two times the third equals 44.

Question

Find three consecutive even integers such as that the sum of the first plus four times the second and two times the third equals 44.

Answer 1

Let the 3 numbers be:

 

x

x + 2

x + 4

 

Then

 

x + 4(x + 2) + 2(x + 4) = 44

 

Simplify and get

 

7x = 28

 

x = 4

 

The three numbers are 4, 6, and 8.