Question

Two numbers are in the ratio $3:7$ and if $6$ be added to each of them, they are $5:9$, then the numbers are

• A. $39,91$
• B. $9,21$
• C. $15,35$
• D. $6,14$

Answer 1

The correct option is B $9,21$

Let the two numbers be $3x$ and $7x$

If 6 is added to both numbers

$\frac{3x+6}{7x+6}=\frac{5}{9}$

By cross multiplication

$27x+54=35x+30$

$⟹8x=24$

$x=3$

The numbers are

$3\times 3=9$

$7\times 3=21$