Question

A no. is divided into 3 parts in the ratio 2:3:4, if the third part is 20. What are the others​

Answer 1

Required Answer:-

Given Informations:

• A number is divided into 3 parts in the ratio 2 : 3 : 4.
• The third part is 20.

To find:

• Each of the remaining parts.

Answer:

• The other two parts are 10 and 15.

Solution:

Let the number be x

Given that,

The number(x) is divided into three parts in the ratio 2 : 3 : 4

Sum of the ratio = 2 + 3 + 4 = 9

So,

Third Part = 4/9 × Number

= 4x/9

According to the given condition,

➡ 4x/9 = 20

➡ x = 20/4 × 9

➡ x = 5 × 9

➡ x = 45

Hence, the number is 45.

So,

First Part = 2/9 × 45 = 2 × 5 = 10

Second Part = 3/9 × 45 = 3 × 5 = 15

Hence, the number is divided into three parts 10, 15 and 25.

So, the other parts are 15 and 25.

Verification:

Let us verify our result.

Number is divided into three parts, 10, 15 ans 25.

Ratio of these three parts

= 10 : 15 : 20

= 2 : 3 : 4

Hence, the numbers are in the ratio 2 : 3 : 4

Also, the third part is 20.

Hence, our answer is correct. (Verified)

Answer 2

Answer:

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