Question

Two numbers are in the ratio $2:7$. If $6$ is added to each of the numbers, the ratio becomes $1:3$. Find the numbers

• A. $14,49$
• B. $16,56$
• C. $18,63$
• D. $24,84$

Answer 1

The correct option is D $24,84$

Ratio of two numbers $=2:7$

Let the numbers be $2x$ and $7x$ respectively.

Adding $6$ to each one:

$\frac{2x+6}{7x+6}=\frac{1}{3}$

$7x+6=3(2x+6)$

$7x+6=6x+18$

$x=12$

$2x=2\times 12=24$

$7x=7\times 12=84$