Question

The sum of two numbers is $100$. If one exceeds the other by $16$, find the numbers.

• A. $42$ and $58$
• B. $50$ and $50$
• C. $32$ and $48$
• D. None of the above.

Answer 1

The correct option is A $42$ and $58$

Let the first number be $x$.

Then another number will be $x+16$.
According to question, sum of the numbers is $100$.
$\Rightarrow x+x+16=100$

$\Rightarrow 2x=84$

$\Rightarrow x=42$
First number $=42$
Other number, $x+16=42+16=58$