Question

The difference between two numbers is 40 and the ratio of these numbers
is 3:1 . Find the numbers.

Answer 1

Step-by-step explanation:

Given :-

The difference between two numbers is 40 and the ratio of these numbers is 3:1 .

To find :-

Find the numbers?

Solution :-

Given that

The ratio of two numbers = 3:1

Let they be 3X and X

The difference between the two numbers

=> 3X-X

=> 2X

According to the given problem

The difference between the two numbers = 40

=> 2X = 40

=> X = 40/2

=> X = 20

Now,

If X = 20 then 3X = 3(20) = 60

The numbers = 20 and 60

Answer:-

The required two numbers are 60 and 20

Check:-

The required two numbers are 60 and 20

Their difference = 60-20 = 40

Their ratio = 60:20

=> 60/20

=> 3/1

=> 3:1

Verified the given relations in the given problem.

Used formulae:-

→ a:b can be written as a/b