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Question
The sum of three consecutive odd natural numbers is 69. Find the prime number out of these numbers.
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Solution
Let us assume three consecutive odd numbers of series to be x, x + 2 and x + 4
So, the sum of consecutive even numbers = x + x + 2 + x + 4 = 69
3x + 6 = 69
3x = 69 – 6
3x = 63
x = 21
Therefore, Three consecutive odd numbers = x, x + 2 and x + 4
x + 2 = 21 + 2
= 23
x + 4 = 21 + 4
= 25
Prime number = 23.
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