Question

The difference between two whole numbers is $26$ and one number is three times the other. Find the numbers.

• A. $39$ and $13$
• B. $36$ and $12$
• C. $54$ and $18$
• D. $45$ and $15$

Answer 1

The correct option is A $39$ and $13$

Let the smaller number be $x$

Therefore, the greater number be $3x$.

Given the difference of two whole numbers is $26$.

Therefore, $3x-x=26$

$\Rightarrow 2x=26$

$\Rightarrow x=13$

Therefore, smaller number is $13$ and greater number will be $3x=3\times 13=39$.