Question

2) Rahul is 25 years younger than his father. After 10 years, their ages will be in ratio 1:2,
find their present ages. [3]

Answer 1

Answer:

40 and 15

Step-by-step explanation:

Present Age of Rahul = X

present age of father = Y

Given : Y-25 = X (1)

After 10 years ratio will be 1:2 = X +10 : Y+10,

2[(y-25)+10] = y + 10 ( x=y-25 from(1) )

2y - 30 = y+ 10

2y -y = 40

y = 40

father's present age 40

father's present age 40Rahul's present age 15

Answer 2

Answer:

The present age of Rahul is $15$ years and the present age of Rahul's father is $40$ years.

Step-by-step explanation:

Given: Rahul is $25$ years younger than his father and after $10$ years, their ages will be in ratio $1:2.$

To Find: Rahul and his father's present ages.

Solution: Let, the age of Rahul is $x$ and the age of Rahul’s father is $25+x.$

Then after $10$ years,

Age of Rahul is $=x+10$

Age of Rahul’s father is $=35+x$

By calculating the value of $x$ will be,

      $\frac{x+10}{x+35} = \frac{1}{2}$

$2(x+10)=x+35$

  $2x+20=x+35$

   $2x-x=35-20$

           $x=15$

Therefore, the value of $x$ is $15.$

Hence, The present age of Rahul is $15$ years. And,

The present age of Rahul's father is $25+x = 25+15$

                                                                       $=40$ years.