Question

The average of 5 consecutive even numbers A, B, C, D and E respectively is 74. What is the product of C and E?

पर्याय

• 5928

• 5616

• 5538

• 5772

Answer 1

5772

Explanation:

Let the five consecutive even numbers be.: x, x + 2, x + 4, x + 6 and x + 8

∴ x + x + 2 + x + 4 + x + 6 + x + 8 = 74 × 5

⇒ 5x + 20 = 370

⇒ 5x = 370 – 20 = 350

⇒ x = `350/5` = 70

∴ A = 70, C = 70 + 4 = 74 and E = 70 + 8 = 78

∴ C × E = 74 × 78 = 5772