Question

The sum of two consecutive even numbers is $74$. Find the numbers.

Answer 1

Let one of the even number be $x$.
Then, the other consecutive even number is $(x+2)$.

According to the question:
$x+(x+2)=74$
$\Rightarrow$ $2x+2=74$
$\Rightarrow$ $2x+2-2=74-2$ [Subtracting $2$ from both the sides]
$\Rightarrow$ $2x=72$
$\Rightarrow$ $\frac{2x}{2}=\frac{72}{2}$ [Dividing both the sides by $2$]
$\therefore$ $x=36$

Thus, the required numbers are $x=36$ and $x+2=38$.