Question

ages of madhav ajit and dilip are in continued proportion if madhavs age is 4 years old and dilip age 9 years old then age of ajit is
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Answer 1

The age of Ajit is 6 years

Given :

• Ages of Madhav, Ajit and Dilip are in continued proportion.

• Madhav's age is 4 years old and Dilip's age is 9 years old

To find :

The age of Ajit

Solution :

Step 1 of 2 :

Form the equation to find age of Ajit

Let age of Ajit = x years

Now it is given that ages of Madhav, Ajit and Dilip are in continued proportion.

By the given condition

4 : x = x : 9

Step 2 of 2 :

Find age of Ajit

$\displaystyle \sf{ 4 : x = x : 9}$

$\displaystyle \sf{ \implies \frac{4}{x} = \frac{x}{9} }$

$\displaystyle \sf{ \implies {x}^{2} = 4 \times 9 }$

$\displaystyle \sf{ \implies {x}^{2} =36}$

$\displaystyle \sf{ \implies x = 6}$

Hence age of Ajit is 6 years

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