Question 145478
For problems like this, let n be the lowest number. Then let n+2, n+4, etc be the 'next consecutive' integers.

An example, three consecutive even integers have an average of 10, what are they?

{{{10 = (n + (n+2) + (n+4))/3 }}}
{{{10 = (3n + 6)/3}}}
{{{10 = n + 2}}}
{{{8 = n }}}

so n+2 = 10 and n+4 = 12

8,10,12