Question

divide 405 in the ratio 3:12

Answer 1

Step-by-step explanation:

let one part be 3x and other be 12 x

now, we have.....

3x+12x=405

15x=405

x=27

hence first part=3x=3×27=81,and

second part=12x=12×27=324

hope it will help you....

Answer 2

Dividing 405 in the ratio 3 : 12 , the numbers are 81 and 324 respectively

Given :

The number 405

To find :

Divide 405 in the ratio 3 : 12

Solution :

Step 1 of 2 :

Simplify the given ratio

The given ratio is 3 : 12

3 = 3 × 1

12 = 2 × 2 × 3

HCF of 3 and 12 is 3

So on simplification the ratio 3 : 12 becomes 1 : 4

Step 2 of 3 :

Form the equation

We have to divide 405 in the ratio 3 : 12

Which is same as we have to divide 405 in the ratio 1 : 4

Let the two parts in which we divide 405 in the ratio 1 : 4 are x and 4x respectively

Then by the given

x + 4x = 405

Step 3 of 4 :

Find the amounts

x + 4x = 405

⇒ 5x = 405

⇒ x = 405/5

⇒ x = 81

First number = x = 81

Second number = 4x = 4 × 81 = 324

Hence dividing 405 in the ratio 3 : 12 , the numbers are 81 and 324 respectively

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