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

Nov 23, 2016

Least number is $26$

Explanation:

Let the least number be $x$. Then next two even numbers are $2 x + 2$ and $2 x + 4$

Hence their sum is $2 x + 2 x + 2 + 2 x + 4 = 6 x + 6$

As sum is $84$, we have

$6 x + 6 = 84$

or $6 x = 84 - 6 = 78$

or $x = \frac{78}{6} = 13$

Hence, least number is $13 \times 2 = 26$