Question

Sum of two numbers is $95$. If one exceeds the other by $15$, find the numbers.

Answer 1

Let one number be $x$.

$\Rightarrow$ The other number will be $x+15$.

It is given that, the sum of the two numbers is $95$

$\Rightarrow x+x+15=95$

$\Rightarrow 2x+15=95$

$\Rightarrow 2x=95-15$

$\Rightarrow 2x=80$

$\Rightarrow x=\frac{80}{2}$

$\Rightarrow x=40$

Therefore, one of the number is $40$.

$\Rightarrow$ The other number $=x+15$

$=40+15$

$=55$.

Hence, the numbers are $40$ and $55$.