Question

find three consecutive even numbers where the middle integer is equal to the sum of the first and third integer

Answer 1

Let the three consecutive even numbers be x, x + 2 and x + 4.

Given: x + (x + 4) = (x + 2)

∴ 2x + 4 = x + 2

⇒ 2x – x =2 – 4

[Transposing x on the LHS and 4 on the RHS]

⇒ x = -2

x + 2=-2+2=0

x + 4=-2+4=2

Thus, the three consecutive even numbers are -2 ,0 and 2.