Question
The sum of 6 consecutive odd numbers is 156. What will
be the product of first number and the last number?Solution
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 = 156 ⇒ 6x + 30 = 156 ⇒ 6x = 156 – 30 ⇒ x = 126/6 ⇒ x = 21 ∴ x + 10 = 31 Required answer = 21 x 31 = 651
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