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Question 85

Solve the following:

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


Solution

Let the three consecutive odd natural numbers be x, (x+2) and (x+4).
According to the question,
x+(x+2)+(x+4)=69 
3x+6=693x=6963x=63x=63×13=21 
Thus, the three consecutive odd natural numbers are 21, (21+2) and (21+4), i.e. 21, 23, and 25. Out of these, Only 23 is the prime number.

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