Three consecutive EVEN integers add up to 30. What are the numbers?

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Answer 1 · 2016-05-27T23:48:55

#{8,10,12}#

Let #n# be the least of the three integers. Then the next two will be #n+2# and #n+4# (the next two even integers). As their sum is #30#, we have

#n+(n+2)+(n+4)=30#

#=> 3n+6=30#

#=> 3n = 24#

#=> n = 8#

Plugging that back in, that gives us the three integers as

#{n,n+2,n+4} = {8,10,12}#