Question

Find three consecutive positive even integers whose sum is 90.

Answer 1

Let the three consecutive positive even integers be x, (x+2) and (x+4).
Let x be the even number.
Then, $x+x+2+x+4=90$
$\Rightarrow 3x=90-6\Rightarrow 3x=84$
$\Rightarrow x=\frac{84}{3}=28$
∴The required numbers are 28, 30 and 32.