What three consecutive even numbers add up to 456?

Answer 1

150, 152, 154

Let the three consecutive even numbers be 2n-2, 2n & 2n+2, then:

(2n-2) + 2n + (2n+2) = 456

⇒ 6n = 456

⇒ n = 76

Which means the three numbers are:

• 2n-2 = 2 x 76 - 2 = 150
• 2n = 2 x 76 = 152
• 2n+2 = 2 x 76 + 2 = 154