Question

1. Two numbers are in the ratio 7:5 and their difference is 12. Find the two numbers. ​

Answer 1

Answer:

The two numbers are 42 and 30 respectively.

Explanation:-

Given :

Ratio of the two numbers = 7 : 5

Difference between the two numbers = 12

To find :

The two numbers

Solution :

Let the first number be 7x

and the second number be 5x

As it is given, that the difference is 12.

Therefore,

According to question,

= > 7x - 5x = 12=>7x−5x=12

= > 2x = 12=>2x=12

= > x = \dfrac{12}{2}=>x=

2

12

= > x = 6=>x=6

Hence the value of x is 6

Therefore, the first number => 7x = 7 × 6 = 42

And the second number => 5x = 5 × 6 = 30