Question

Raju was 19 year younger than his cousin. After 5 years, their ages will be in the ratio 2:3. Find the present age​

Answer 1

Answer:

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Answer 2

Given :

Raju is 19 years younger than his cousin.

After 5 years, their ages will be in the ratio 2:3.

To Find :

Present Age of Raju and his cousin .

Solution :

$\longmapsto\tt{Let\:Present\:age\:of\:cousin\:be=x}$

As Given that Raju is 19 years younger than his cousin. So ,

$\longmapsto\tt{Age\:of\:Raju=x-19}$

After 5 years :

$\longmapsto\tt{Age\:of\:Raju=x-19+5=x-14}$

$\longmapsto\tt{Age\:of\:Cousin=x+5}$

A.T.Q :

$\longmapsto\tt{\dfrac{x-14}{x+5}=\dfrac{2}{3}}$

$\longmapsto\tt{3(x-14)=2(x+5)}$

$\longmapsto\tt{3x-42=2x+10}$

$\longmapsto\tt{3x-2x=10+42}$

$\longmapsto\tt\bf{x=52}$

Value of x is 52 .

Therefore :

$\longmapsto\tt{Age\:of\:Cousin=x}$

$\longmapsto\tt\bf{52\:yrs}$

$\longmapsto\tt{Age\:of\:Raju=52-19}$

$\longmapsto\tt\bf{33\:yrs}$

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