Three consecutive even numbers have a sum of 84. What is the least number?

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Answer 1 · 2016-11-23T06:04:32

Least number is #26#

Let the least number be #x#. Then next two even numbers are #2x+2# and #2x+4#

Hence their sum is #2x+2x+2+2x+4=6x+6#

As sum is #84#, we have

#6x+6=84#

or #6x=84-6=78#

or #x=78/6=13#

Hence, least number is #13xx2=26#