Question

A number is $15$ more than the other. The sum of the two numbers is $105$. Find the numbers.

Answer 1

Consider the first number $=x$
Second number $=y$
Based on the condition
$x=y+15....\left(1\right)$
$x+7=195....\left(2\right)$
Now substituting equation (1) in (2) we get
$y=15+7=195$
$2y=195-15=180$
So we get
$y=180/2=90$
Substituting the value of $y$ in equation (1)
$x=90+15=105$
Hence, the two numbers are $105$ and $90$.