The total age of A , B and C five years hence will be 105 years. Find the age of C five years hence if the present age of A and B is 35 years and 25 years respectively.

Options

A. 31 yrs.
B. 32 yrs.
C. 35 yrs.
D. 37 yrs.

Explanation

To solve the problem step by step, we will follow these instructions:

### Step 1: Understand the given information
We know that:
- The total age of A, B, and C five years from now will be 105 years.
- The present age of A is 35 years.
- The present age of B is 25 years.

### Step 2: Calculate the ages of A and B five years hence
- Age of A five years hence = Present age of A + 5 = 35 + 5 = 40 years
- Age of B five years hence = Present age of B + 5 = 25 + 5 = 30 years

### Step 3: Set up the equation for the total age
According to the problem, the total age of A, B, and C five years hence is 105 years. Therefore, we can write the equation:
\[ \text{Age of A (5 years hence)} + \text{Age of B (5 years hence)} + \text{Age of C (5 years hence)} = 105 \]

Substituting the ages we calculated:
\[ 40 + 30 + \text{Age of C (5 years hence)} = 105 \]

### Step 4: Simplify the equation
Now, we simplify the equation:
\[ 70 + \text{Age of C (5 years hence)} = 105 \]

### Step 5: Solve for the age of C five years hence
To find the age of C five years hence, we subtract 70 from both sides:
\[ \text{Age of C (5 years hence)} = 105 - 70 \]
\[ \text{Age of C (5 years hence)} = 35 \]

### Conclusion
The age of C five years hence will be **35 years**.

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