Question

10.
Sum of three consecutive odd natural nos is 231. Find the numbers.
(1) 81,83,85 (2) 83,85,87
(3) 71,73,75
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Answer 1

Let the three consecutive natural numbers be x + 1, x + 3, x + 5

Sum of three consecutive odd natural numbers = 231

$x + 1 + x + 3 + x + 5 = 231$

$3x + 9 = 231$

$3x = 231 - 9$

$3x = 222$

$x = \frac{222}{3}$

$x = 74$

One natural odd number = x + 1 = 74 + 1 = 75

Second natural odd number = x + 3 = 74 + 3 = 77

Third natural odd number = x + 5 = 74 + 5 = 79

Therefore the required numbers are 75, 77, 79

Answer 2

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