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The sum of 6 consecutive odd numbers is 144. What will be the product of first number and the last number?

A513

B551

C609

D567

Answer:

B. 551

Read Explanation:

Let six consecutive odd numbers be x, x + 2, x + 4, x + 6, x + 8 and x + 10. Now, x + x + 2 + x + 4 + x + 6 + x + 8 + x + 10 = 144 ⇒ 6x + 30 = 144 ⇒ 6x = 144 – 30 ⇒ x = 114/6 ⇒ x = 19 ∴ x + 10 = 29 Product of the first number and the last number = 19 × 29 = 551


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