Question

Kavin's age is 3 times that of Tharun. After 12 years, Kavin's age will be double the age of Tharun. Find the present age of Kavin.​

Answer 1

Solution :

$\bf{\red{\underline{\bf{Given\::}}}}$

Kavin's age is 3 times that of Tharun. After 12 years, Kavin's age will be double the age of Tharun.

$\bf{\red{\underline{\bf{To\:find\::}}}}$

The present age of Kavin.

$\bf{\red{\underline{\bf{Explanation\::}}}}$

Let the Tharun's age be r years

Let the Kavin's age be 3r years

$\underbrace{\bf{After\:12\:years\::}}}}$

The age of Tharun's be (r+12) years

The age of Kavin's be (3r+12) years

A/q

$\longrightarrow\sf{3r+12=2(r+12)}\\\\\longrightarrow\sf{3r+12=2r+24}\\\\\longrightarrow\sf{3r-2r=24-12}\\\\\longrightarrow\sf{\green{r=12\:years}}$

Thus;

$\underline{\sf{\large{The\:present\:age\:of\:kavin's\:is\:3(12)=36\:years}}}}}$

Answer 2

Given:

Kavin's age is 3 times that of Tharun. After 12 years, Kavin's age will be double the age of Tharun.

To find:

The present age of Kavin.

Explanation:

Let the Tharun's age be r years.

Let the Kavin's age be 3r years.

After 12 years:

The age of Tharun's be (r + 12) years.

The age of Kavin's be (3r + 12) years.

A.T.Q

3r + 12 = 2(r + 12)

3r + 12 = 2r + 24

3r - 2r = 24 - 12

r = 12 years

Thus,

The present age of Kavin's is 3(12) = 36years.

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