Question

Two numbers are in the ratio 3:5 and their difference is 30. The smaller number is

(a) 30 (b) 45 (c) 60 (d) 75 ​

Answer 1

Step-by-step explanation:

Let the two numbers be 3x and 5x respectively.

AS PER THE QUESTION

5x - 3x = 30

2x = 30

x = 30/2 = 15

Smaller No. = 3x = 3*15 = 45

Option (B) - 45

Answer 2

$\huge\fbox\red{Answer}$

The ratio of two numbers is 3:5

Let the smaller number be 3x and larger number be 5x.

According to first condition,

$5x - 3x = 30 \\ 2x = 30 \\ x = \frac{30}{2} \\ x = 15$

The smaller number is

$3x = 3 \times 15 \\ = 45$

So option b) 45 is correct