Question

7. Two numbers are in the ratio of 4:5. If the sum of the numbers is 36, then
find the numbers.​

Answer 1

Step-by-step explanation:

let the ratio be in the form of x

then,

4x+5x=36

9x=36

x=36/9

x=4

4x=4*4=16

5x=5*4=20

Answer 2

Given :-

Ratio of two numbers = 4 : 5

Sum of the numbers = 36

To Find :-

Find the numbers.

Analysis :-

Consider the common ratio as x

Let the two numbers be 4x and 5x

According to the question, make an equation and solve x

Substitute the value of x in the two numbers.

Solution :-

Let the common ratio be x and the two numbers would be 4x and 5x respectively.

Given that, sum of the two numbers is 36.

According to the question,

$\sf 4x+5x=36$

$\sf 9x=36$

$\sf x=\dfrac{36}{9}$

$\sf x=4$

Hence, the value of x is 4

We know that, the two numbers are 4x and 5x

Then,

The first number = $\sf 4x= 4 \times 4$

First number = 16

The second number = $\sf 5x=5 \times 4$

Second number = 20

Therefore, the numbers are 16 and 20