Question

One number is $3$ times another number. If $15$ is added to both the numbers, then one of the new numbers becomes twice that of the other new number. The numbers are

• A. $15,45$
• B. $12,36$
• C. $13,39$
• D. $14,42$

Answer 1

The correct option is A $15,45$

Let one number be $x$.
So, the second number $=3x$
According to the given condition,
$3x+15=2(x+15)$
$\Rightarrow 3x+15=2x+30$

$\Rightarrow 3x-2x=30-15$

$\Rightarrow x=15$
Therefore, one number $=15$ and second number $=3\times 15=45$.