Question

The average age of three boys is 25 years and their ages are in the proportion 3 : 5 : 7. the age of the youngest boy is:

Answer 1

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Answer 2

The age of the youngest boy = 15 years

Correct question : The average age of three boys is 25 years and their ages are in the ratio 3 : 5 : 7. the age of the youngest boy is:

Given :

The average age of three boys is 25 years and their ages are in the ratio 3 : 5 : 7

To find :

The age of the youngest boy

Solution :

Step 1 of 2 :

Form the equation to find the age of the youngest boy

Here it is given that the age of three boys are in the ratio 3 : 5 : 7

Let the ages of three boys are 3x years , 5x years , 7x years

Also it is given that the average age of three boys is 25 years

By the given condition

$\displaystyle \sf \frac{3x + 5x + 7x}{3} = 25$

Step 2 of 2 :

Find the age of the youngest boy

$\displaystyle \sf \frac{3x + 5x + 7x}{3} = 25$

$\displaystyle \sf{ \implies } \frac{15x}{3} = 25$

$\displaystyle \sf{ \implies }5x = 25$

$\displaystyle \sf{ \implies }x = 5$

So the ages of three boys are 15 years , 25 years , 35 years

Hence age of the youngest boy = 15 years

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