The age of Sohail, Afzal and Bilal are 17,16 and 12 respectively. If the age of Aslam also included the average of the ages is increased by 5. What is the age of Aslam

Options

A. A. 46
B. B. 36
C. C. 35
D. D. 61

Answer

To solve the problem step by step, we can follow these steps:

### Step 1: Calculate the current average age of Sohail, Afzal, and Bilal.
- The ages are: Sohail = 17, Afzal = 16, Bilal = 12.
- The sum of their ages = 17 + 16 + 12 = 45.
- The number of people = 3.
- The average age = Total age / Number of people = 45 / 3 = 15.

### Step 2: Determine the new average age when Aslam is included.
- According to the problem, when Aslam's age is included, the average increases by 5 years.
- Therefore, the new average age = Current average + 5 = 15 + 5 = 20.

### Step 3: Set up the equation to find Aslam's age.
- Let Aslam's age be represented by X.
- The new total age when Aslam is included = 45 + X.
- The number of people now = 4 (Sohail, Afzal, Bilal, and Aslam).
- The new average age can be expressed as: (Total age with Aslam) / Number of people = (45 + X) / 4.

### Step 4: Set the new average equal to 20 and solve for X.
- We have the equation: (45 + X) / 4 = 20.
- Multiply both sides by 4 to eliminate the fraction: 45 + X = 80.
- Now, isolate X: X = 80 - 45.
- Therefore, X = 35.

### Conclusion:
- Aslam's age is 35 years.

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