The average of 5 consecutive even numbers A, B,C,D and E is 52. What is the product of B and E?
Let the five consecutive even numbers be
x, x + 2, x + 4, x + 6 and x + 8 respectively.
According to the question,
x + x + 2 + x + 4 + x + 6 + x + 8
= 5 × 52
⇒ 5x + 20 = 260
⇒ 5x = 260 – 20
⇒ x = = 48
∴ B = x + 2 = 48 + 2 = 50 and
E = x + 8 = 48 + 8 = 56
∴ B × E = 50 × 56 = 2800