Question

Find three consecutive even numbers whose sum is $234$.

Answer 1

Step 1: Calculate one of the numbers

Let us assume the three consecutive even numbers as $x-2,x$ and $x+2$.

It is given that the sum of these three numbers is $234$.

$\therefore x-2+x+x+2=234$

$\Rightarrow$ $3x=234$

$\Rightarrow$ $x=\frac{234}{3}$

$\Rightarrow$ $x=78$

Step 2: Calculate the other two numbers

Therefore,

$x-2=78-2=76$

$x+2=78+2=80$

Hence, the three consecutive even numbers are $76,78$ and $80$.