Question

Two numbers are in the ratio $3:5$. If each number is increased by $10$, the ratio becomes $5:7$. The numbers are _______.

• A. $3,5$
• B. $7,9$
• C. $13,22$
• D. $15,25$

Answer 1

The correct option is D $15,25$

Let the numbers be $3x,5x$

According to question,

$\frac{3x+10}{5x+10}=\frac{5}{7}$

$25x+50=21x+70$

$4x=20$

$x=5$

$3x=15,5x=25$