Question

A present age of Ramu's father is three times that of Ramu. After five years the sum of their ages would be 70 years. Find their present ages.​

Answer 1

Answer:

Given :

$\textsf{Present age of Ramu 's father is three times of Ramu}$

$\textsf{After 5 years sum of their age is 70 years}$

To find :

$\textsf{Their present age }$

Concept :

Let the age of Ramu be x

And let the age of Ramu 's father be 3x

So , after 5 years the the sum of their age is 70 years . So , the equation will like this:

$\sf\boxed{x+5+3x+5=70}$

Here x+5 is the age of the Ramu

And 3x+5 is the age of the Ramu 's father

The 70 is the sum of ages of Ramu and Ramu 's father after 5 years .

Solution :

$\sf:\implies{x+5+3x+5=70}$

$\sf:\implies{x+3x+5+5=70}$

$\sf:\implies{4x+10=70}$

$\sf:\implies{4x=70-10}$

$\sf:\implies{4x=60}$

$\sf:\implies{x=\dfrac{60}{4}}$

$\sf:\implies{x=15\:years}$

So , the age of Ramu is 15 years .

Age of Ramu 's father is :

$\sf:\implies{Age\:of\:Ramu\:'s\:father=15\:years\times3}$

$\sf:\implies{Age\:of\:Ramu\:'s\:father=45\:years}$

Answer :

So , the age of Ramu is 15 years .

And the age of Ramu 's father is 45 years .