SOLUTION: the sum of three consecutive numbers is 42. What are the numbers?

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Question 1030757: the sum of three consecutive numbers is 42. What are the numbers?
Answer by ikleyn(52794) About Me  (Show Source):
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the sum of three consecutive highlight%28integer%29 numbers is 42. What are the numbers?
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Answer. The three consecutive integer numbers are 13, 14 and 15.

Solution

Let x be the middle of the three consecutive numbers.
Then the lesser of the three is (x-1), and
     the greater of the three is (x+1).

So, our numbers are  (x-1),  x,  and  (x+1).

Their sum is 

(x-1) + x + (x+1) = 3x,

and it is equal 42:

3x = 42.

Hence,  x = 42%2F3 = 14,  and the three numbers are 13, 14 and 15.