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Question

Question 86

Solve the following:

The sum three consecutive numbers is 156. Find the number which is a multiple of 13 out of these numbers.


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Solution

Let three consecutive numbers be x, (x+1) and (x+2).
According to the question,
x+(x+1)+(x+2)=156
3x+3=1563x=1563=153x=153×13=51
Thus, we get the numbers 51, 51+1 and 51+2, i.e. 51, 52 and 53. Out of these, only 52 is a multiple of 13.


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