Question

If two numbers are in the ratio 3:5 and their difference is 48, then find the two numbers.

• A. 72 and 120
• B. 72 and 125
• C. 78 and 130
• D. 82 and 120

Answer 1

The correct option is A

72 and 120

Given that the ratio of two numbers is 3:5.

So, let the required numbers be 3x and 5x . Then,

5x- 3x= 48 $(\because$ difference of the numbers is 48$)$

5x- 3x= 48

$\Rightarrow$ 2x = 48

$\Rightarrow$ x= $\frac{48}{2}=24$

$\therefore$The required numbers are :

3x = $3\times 24$ = 72

and 5x = $5\times 24$ = 120