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

Question

2736 views around the world

You can reuse this answer
Creative Commons License

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#