Ratio of present ages of Pankaj and Punit is 5:6 and the sum of their ages is 33 years. What will be the difference (in years) of their ages? a. 2 b. 4 c. 3 d. 5

To solve this problem, we need to determine the difference in ages between Pankaj and Punit, given their age ratio and the sum of their ages.

Given Information:

The ratio of Pankaj's age to Punit's age is 5 : 6 .
The sum of their ages is 33 years.


Let Variables Represent Ages:

Let the present age of Pankaj be 5 x years.
Let the present age of Punit be 6 x years.


Equation Setup:

From the given information, we can write: 5 x + 6 x = 33
Simplifying the equation gives: 11 x = 33


Solve for x:

Divide both sides by 11: x = 11 33 ​ = 3


Determine Their Ages:

Pankaj's age = 5 x = 5 × 3 = 15 years.
Punit's age = 6 x = 6 × 3 = 18 years.


Find Their Age Difference:

The difference in their ages is: 18 − 15 = 3 years.



Therefore, the difference in ages between Pankaj and Punit is 3 years.
The correct multiple-choice option is c. 3 .

Answered by BenjaminOwenLewis | 2025-07-21