Question

The difference between two numbers is 126 and ratio between them is 3:2.Find the numbers.​

Answer 1

Step-by-step explanation:

Given :-

The difference between two numbers is 126 and ratio between them is 3:2.

To find :-

Find the numbers ?

Solution :-

Given that

The ratio of the two numbers = 3:2

Let they be 3X and 2X

Their difference between the two numbers

=> 3X - 2X

=>X

The difference between the numbers = X

According to the given problem

The difference between two numbers

= 126

=> X = 126

The value of X = 126

If X = 126 then the value of 2X

=> 2(126)

=> 252

If X = 126 then the value of 3X

=> 3(126)

=> 378

The numbers are 252 and 378

Answer:-

The required numbers are 252 and 378

Check :-

The numbers are 252 and 378

Their ratio = 252:378

=> 252/378

=> (2×126)/(3×126)

=> 2/3

=> 2:3

Their difference = 378-252 = 126

Verified the given relations in the given problem.

Used formulae:-

→ a:b can be written as a/b