Brenda's three daughters have heights that are consecutive even integers. find their heights if the sum of the three heights is 120

Question

anonymous · Answer

@whpalmer4  help pls

whpalmer4 · Answer

what is your favorite variable name?

anonymous · Answer

oh boy, its brenda of course

whpalmer4 · Answer

brenda is a bit of lengthy variable name, how about a single letter?

whpalmer4 · Answer

Let's go with $x$.

if $x$ is an even integer, what is an expression (in terms of $x$ for the next even integer?

anonymous · Answer

nvm, I saw what I was doing wrong, i got the answer, i appreciate that you'd at least answered?
i got 38, 40, and 42. if you don't believe me :L

whpalmer4 · Answer

Yes, those heights work.  One way you could do this is to take the total and simply divide it by 3.  That of course gives you 3 identical heights, and you make one the even integer before, and one the even integer after the (average) value you got.  120/3 = 40, so one kid is 40, one kid is 40-2 and one kid is 42.