Question

The sum of two numbers is $80$. If the larger number exceeds four times the smaller by $5$, what is the smaller number?

• A. $5$
• B. $15$
• C. $20$
• D. $25$

Answer 1

The correct option is B $15$

Given, sum of two numbers is $80$.

Let the smaller number be $x$

Thus the larger will be $80-x$.

Also given, larger number exceeds four times the smaller number by $5$.
Therefore, $80-x=4x+5$
$\Rightarrow 5x=75$

$\Rightarrow x=15$

Thus the smaller number is $15$.