Q85 of 113 Page 110

The sum of three consecutive odd natural numbers is 69. Find the prime number out of these numbers.

Let the 3 consecutive odd numbers be x,x + 2,x + 4

According to the question


x + x + 2 + x + 4 = 69


3x + 6 = 69


3x = 69-6


3x = 63


x = 21


(divide by 3 on both the sides)


The numbers are x = 21


x + 2 = 21 + 2 = 23


x + 4 = 21 + 4 = 25


Among 21,23 and 25 it is found that 23 is a prime number


Prime number = 23


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