Question

Two numbers are in the ratio 5 : 9 and their difference is 24. Find the numbers.​

Answer 1

Given:

• 2 numbers are in the ratio 5:9.
• The difference between the two numbers is 24.

To Find:

The two numbers.

Solution:

We can solve this mathematical problem by using this mathematical process.

Let us assume that,

The first number = 5x ...(1)

and the second number = 9x ...(2)

According to the question,

The difference between the two numbers is 24.

Therefore,

• 9x - 5x = 24
• 4x = 24
• x = 6.

Substituting the value of x in equations (1) and (2), we get:

The first number = 5x = 5*6 = 30.

The second number = 9x = 9*6 = 54.

The two numbers in the ratio 5:9 with a difference of 24 are 30 and 54 respectively.

Answer 2

Here the ratio of 2 numbers is given to be 5:9

Also, the difference of the numbers is 24

We have to find the two numbers

Let the numbers be 5x and 9x

So, 9x - 5x = 24

4x = 24

x = 24/4

x = 6

So, 5x = 5 × 6

= 30

9x = 9 × 6

= 54

Hence, the two numbers will be 30 and 54