A man's age 15 years hence would be two times his age six years ago. Find his present age

Answer

To solve the problem, we need to find the present age of the man based on the information given. Let's break it down step by step.

### Step 1: Define the Present Age
Let the present age of the man be represented by \( x \).

### Step 2: Express Future Age
According to the problem, the man's age 15 years from now will be:
\[ x + 15 \]

### Step 3: Express Past Age
The man's age 6 years ago was:
\[ x - 6 \]

### Step 4: Set Up the Equation
The problem states that the man's age 15 years hence will be two times his age 6 years ago. Therefore, we can write the equation as:
\[ x + 15 = 2(x - 6) \]

### Step 5: Simplify the Equation
Now, let's simplify the equation:
1. Expand the right side:
\[ x + 15 = 2x - 12 \]

2. Rearrange the equation to isolate \( x \):
\[ 15 + 12 = 2x - x \]
\[ 27 = x \]

### Step 6: Conclusion
Thus, the present age of the man is:
\[ \boxed{27} \]