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42 votes
42 votes
Three consecutive integers have a sum of 42. Find the integers.

User Jcrshankar
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1 Answer

23 votes
23 votes

Answer:

13, 14, 15

Explanation:

Three consecutive integers have a sum of 42 means which 3 numbers in a row add up to 42

We can call the lowest integer x,

the next integer x+1 (since our integers need to be even)

the third integer x+2

algebraic equation: 42 = x + (x+1) + (x+2).

Combine like terms on the right side,

42 = 3x + 3

Subtract 3 from each side

39 = 3x

Divide each side by 3

x=13, which is our lowest integer.

The next two integers we find with 13 + 1 =.14 and 13 + 2 = 15

13 + 14 + 15 = 42.

User Noontz
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