The present age of Sameer’s mother is three times the present age of Sameer. After 5 years sum of their ages will be 66 years. Find the present age of Sameer:

Options

A. A)14 years
B. B)16 years
C. C)12 years
D. D)15 years

Answer

To find the present age of Sameer, let's denote his present age as \( K \). According to the problem, Sameer's mother's present age is three times Sameer's age, which can be expressed as \( 3K \).

### Step-by-Step Solution:

1. **Define the Variables:**
- Let Sameer's present age be \( K \).
- Then, Sameer's mother's present age is \( 3K \).

2. **Set Up the Equation for Future Ages:**
- After 5 years, Sameer's age will be \( K + 5 \).
- After 5 years, Sameer's mother's age will be \( 3K + 5 \).

3. **Write the Equation for the Sum of Their Ages:**
- The sum of their ages after 5 years is given to be 66 years. Therefore, we can set up the equation:
\[ (K + 5) + (3K + 5) = 66 \]

4. **Simplify the Equation:**
- Combine like terms:
\[ K + 5 + 3K + 5 = 66 \]
\[ 4K + 10 = 66 \]

5. **Isolate the Variable:**
- Subtract 10 from both sides:
\[ 4K = 66 - 10 \]
\[ 4K = 56 \]

6. **Solve for \( K \):**
- Divide both sides by 4:
\[ K = \frac{56}{4} \]
\[ K = 14 \]

7. **Conclusion:**
- The present age of Sameer is \( 14 \) years.