The average of 5 consecutive even numbers A, B, C, D and E is 52.What is the product of B & 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

$Rightarrow$ 5x + 20 = 260

$Rightarrow$5x = 260 – 20 $Rightarrow$ x = $frac{{240}}{5} = 48$

$herefore$ B = x + 2 = 48 + 2 = 50

E = x + 8 = 48 + 8 = 56

$herefore$ B × E = 50 × 56 = 2800