How do you find three consecutive even integers if their sum is 36?

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Answer 1 · 2018-05-19T07:20:35

The numbers are: #10,12,14#

Let the first even number be #x#
then the second even number is #x+2#
and the third even number is #x+4#

If you don't understand why for the above, just think of an example. Three consecutive even numbers can be:

#2,4,6# or #100,102,104# or #4866,4868,4870#

You can see that consecutive even numbers all have a difference of 2.

Since their sum is 36,
then:
#x+x+2+x+4=36#
#3x+6=36#
#3x=30#
#x=10#

Hence, the numbers are: #10,12,14#