Question

Two numbers are in the ratio 5 : 3 . if they differ by 18 , what are the number

Answer 1

Given :

• Two numbers are in the ratio 5 : 3 .

• They differ by 18.

To find :

• The number =?

Step-by-step explanation :

Let, the first number be 5x.

Then, the second number be 3x .

It is Given that :

• They differ by 18.

According to the question :

➮ 5x - 3x = 18

➮ 2x = 18

➮ x = 18/2

➮ x = 9.

Therefore, We got the value of, x = 9.

Hence,

The value of first number, 5x = 5 × 9 = 45.

The value of second number, 3x = 3 × 9 = 27.

Verification :

Given equation is :

5x - 3x = 18

On putting the value of x = 7 in the above equation, we get,

➮ 5 × 9 - 3 × 9 = 18

➮ 45 - 27 = 18

➮ 18 = 18

LHS = RHS

Hence, it is verified.

Answer 2

GIVEN :

• The numbers are in the ratio 5:3

• They are differ by 18.

TO FIND :

• The number to be obtained = ?

STEP - BY- STEP EXPLAINATION :

=> Let the first number be 5x

=> Let the second number be 3x

=> 5x - 3x = 18

=> 2x = 18

=> x = 18/2

=> x = 9

Hence, The value of first number = 5x = 5 × 9 = 45

The value of second number = 3x = 3 × 9 = 27