The sum of three consecutive even integers is 78. What is the value of the smallest of the three integers?

Question

I just need help.

Answer 1

My expert advice: Especially on a test or when you are rushed, notice which value the question asks you to find. This question asks for "the value of the smallest of the three integers," so use (n), (n+1) and (n+2) to find n as your answer.

However, if the question asks you to find "the second of the three integers." then use (n-1), (n), and (n+1) so you won't forget to select the second integer as you finish your answer (note: this is a favorite test-maker trick).

This approach also allows you to find the smallest of the three integers very quickly:

78 / 3 = 26 and 26-1 = 25

So if the three consecutive integers are x, y, and z and their sum is 78, then:

x = (78 - 3) / 3 = 25

y = 78/3 = 26 [you can do this one without paper]

z = (78 + 3)/3 = 27