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The image contains a math problem involving the ages of Pranav and his mother. Here's the part of the text that is visible:

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**11. The age of Pranav’s mother is 4 times the age of Pranav. After four years, age of mother becomes 3 times that of Pranav.**  
**(a)** What is the present age of Pranav?  
**(b)** What is the present age of Pranav’s mother?

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### Solution:

Let Pranav's current age be \( P \), and let his mother's current age be \( M \).

From the problem, we know:
1. \( M = 4P \) (The mother's age is 4 times Pranav's age).
2. In 4 years, the mother's age will be 3 times Pranav's age:  
   \( M + 4 = 3(P + 4) \).

Now, let's solve these equations step-by-step.

#### Step 1: Substituting \( M = 4P \) into the second equation:
\[
4P + 4 = 3(P + 4)
\]

#### Step 2: Expanding both sides:
\[
4P + 4 = 3P + 12
\]

#### Step 3: Isolating \( P \):
\[
4P - 3P = 12 - 4
\]
\[
P = 8
\]

So, Pranav's current age is 8 years.

#### Step 4: Finding the mother's age:
Since \( M = 4P \),
\[
M = 4 \times 8 = 32
\]

So, Pranav's mother is currently 32 years old.

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### Final Answer:
- **(a)** Pranav's present age is 8 years.
- **(b)** Pranav's mother's present age is 32 years.

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Do you need any more details or clarifications? 

Here are 5 additional related questions:
1. How would the relationship change if the mother's age was 5 times that of Pranav?
2. If the problem was set for 6 years in the future, how would the equation change?
3. What if Pranav’s mother was twice his age after 10 years?
4. Can we solve for Pranav's age if we knew only the future age relationship?
5. What is the algebraic method called when solving systems like these?

### Tip:
Always express one variable in terms of another when solving two-variable systems of equations—it simplifies the substitution process!

The age of Pranav’s mother is 4 times the age of Pranav. After four years, the age of the mother becomes 3 times that of Pranav. (a) What is the present age of Pranav? (b) What is the present age of Pranav’s mother?

Learn how to solve an age-related algebra problem where the mother's age is 4 times Pranav's, and becomes 3 times his age after four years. This detailed solution is ideal for students in Grades 6-8.

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