Question 140

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

Solution

Let the five consecutive even numbers A,B,C,D ,E = $$(x-4) , (x-2) , (x) , (x+2) , (x+4)$$ respectively.

Average = $$\frac{A+B+C+D+E}{5} = 52$$

=> $$(x-4) + (x-2) + (x) + (x+2) + (x+4) = 52 \times 5$$

=> $$5x = 52 \times 5$$

=> $$x = \frac{52 \times 5}{5} = 52$$

=> $$B = 52 - 2 = 50$$ and $$E = 52 + 4 = 56$$

$$\therefore$$ Product of B & E = $$50 \times 56 = 2800$$

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