The sum of three consecutive even numbers is 114. What is the smallest of the three numbers?

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The sum of three consecutive even numbers is 114. What is the smallest of the three numbers?

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Answer 1 · 2016-10-23T01:55:19

36

Explanation:

We have a number that needs to be even so I'm going to call it #x#. The next two consecutive even numbers are therefore #x+2, x+4#. The sum of these three numbers together is 114, so

#x+(x+2)+(x+4)=114#

#3x+6=114#

#3x=108#

#x=36#

The three numbers are 36, 38, 40.

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The sum of three consecutive even numbers is 114. What is the smallest of the three numbers?

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