Question

Find four consecutive even numbers whose sum is 156

Answer 1

The answer is 36, 38, 40, 42

The numbers are:
(1) x is the first even number
(2) x + 2 is the first consecutive even number
(3) x + 2 + 2 is the second consecutive even number
(4) x + 2 + 2 + 2 is the third consecutive even number

x + x + 2 + x + 2 + 2 + x + 2 + 2 + 2 = 156
x + x + x + x + 2 + 2 + 2 + 2 + 2 + 2 = 156
4x + 12 = 156
4x = 156 - 12
4x = 144
x = 144 / 4
x = 36

The numbers are:
(1) x is the first even number: x = 36
(2) x + 2 is the first consecutive even number: x = 36 + 2 = 38
(3) x + 2 + 2 is the second consecutive even number: x = 36 + 2 + 2 = 40
(4) x + 2 + 2 + 2 is the third consecutive even number: x = 36 + 2 + 2 + 2 = 42