Question

Find three consecutive even numbers whose sum is $96$.

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 $96$.

$\therefore x-2+x+x+2=96$

$\Rightarrow$ $3x=96$

$\Rightarrow$ $x=\frac{96}{3}$

$\Rightarrow$ $x=32$

Step 2: Calculate the other two numbers

Therefore,

$x-2=32-2=30$

$x+2=32+2=34$

Hence, the three consecutive even numbers are $30,32$ and $34$.