The present age of Rahim is five times the present age of his daughter, Savita. Seven years from now, Rahim will be three times as old as Savita. What is the present age (in years) of Rahim?

Let the present age of Savita be ( x ) years. Then, the present age of Rahim is ( 5x ) years.

Seven years from now, Savita’s age will be ( x + 7 ) and Rahim’s age will be ( 5x + 7 ).

According to the problem, in seven years, Rahim’s age will be three times Savita’s age:

[

5x + 7 = 3(x + 7)

]

Expanding the right side:

[

5x + 7 = 3x + 21

]

Now, subtract ( 3x ) from both sides:

[

2x + 7 = 21

]

Subtract ( 7 ) from both sides:

[

2x = 14

]

Now, divide by ( 2 ):

[

x = 7

]

So, Savita’s present age is ( 7 ) years. Therefore, Rahim’s present age is:

[

5x = 5 times 7 = 35 text{ years}

]

Thus, the present age of Rahim is ( 35 ) years.