The average of 6 consecutive odd numbers is 64. Greatest of them is
- AOption (a)
67
- BOption (b)
65
- COption (c)
71
- DOption (d)
69
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Correct answer
69
Why this answer is correct
Given:
The average of 6 consecutive odd numbers is 64.
Calculation:
Let the numbers be (a - 5), (a - 3), (a - 1), (a + 1), (a + 3), (a + 5).
According to question,
(a - 5) + (a - 3) + (a - 1) + (a + 1) + (a + 3) + (a + 5) = 6 × 64
⇒ 6a - 9 + 9 = 6 × 64
⇒ 6a = 6 × 64
∴ a = 64
Greatest number = a + 5 = 64 + 5 = 69
Hence, 69 is the correct answer.