Question

Divide 150 in the ratio 2:3

Answer 1

let the numbers be 2x and 3x

2x+3x = 150

5x = 150

x= 30

the no.s are:-

2x= 60

3x= 90

Answer 2

Dividing 150 in the ratio 2 : 3 , the numbers are 60 and 90 respectively

Given :

The number 150

To find :

Divide 150 in the ratio 2 : 3

Solution :

Step 1 of 2 :

Form the equation

We have to divide 150 in the ratio 2 : 3

Let the two parts in which we divide 150 be 2x and 3x respectively

Then by the given

2x + 3x = 150

Step 2 of 2 :

Find the amounts

2x + 3x = 150

⇒ 5x = 150

⇒ x = 150/5

⇒ x = 30

First number = 2x = 2 × 30 = 60

Second number = 3x = 3 × 30 = 90

Hence dividing 150 in the ratio 2 : 3 , the numbers are 60 and 90 respectively

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