What is the present age of Sabir?
I. The present age of Sabir is half of his father's age.
II. After five years the ratio of ages of Sabir and his father is `6:11.`
III. Sabir is younger to his brother by five years.

Options

A. I and II
B. I and III
C. II and III
D. All of these

Explanation

To find the present age of Sabir, we will analyze the given statements step by step.

### Step 1: Analyze Statement I
Statement I states that "The present age of Sabir is half of his father's age."

Let’s denote:
- Sabir's father's age as \( X \).
- Therefore, Sabir's present age will be \( \frac{X}{2} \).

### Step 2: Analyze Statement II
Statement II states that "After five years, the ratio of ages of Sabir and his father is 6:11."

After 5 years:
- Sabir's age will be \( \frac{X}{2} + 5 \).
- His father's age will be \( X + 5 \).

According to the statement, we can set up the equation based on the ratio:
\[ \frac{\frac{X}{2} + 5}{X + 5} = \frac{6}{11} \]

### Step 3: Cross-Multiply to Solve for \( X \)
Cross-multiplying gives us:
\[ 11\left(\frac{X}{2} + 5\right) = 6(X + 5) \]

Expanding both sides:
\[ 11 \cdot \frac{X}{2} + 55 = 6X + 30 \]

Multiplying through by 2 to eliminate the fraction:
\[ 11X + 110 = 12X + 60 \]

### Step 4: Rearranging the Equation
Rearranging gives:
\[ 110 - 60 = 12X - 11X \]
\[ 50 = X \]

### Step 5: Calculate Sabir's Present Age
Now that we have \( X = 50 \) (the father's age), we can find Sabir's present age:
\[ \text{Sabir's age} = \frac{X}{2} = \frac{50}{2} = 25 \]

### Conclusion
Thus, the present age of Sabir is **25 years**.