Suresh was married 14 yrs ago and his present age is `3/2` times of the age at the time of his marriage If his son's age is `1/3` rd of his present age, then find the age of his son.

Options

A. A)16 yrs
B. B)18 yrs
C. C)14 yrs
D. D)12 yrs

Answer

To solve the problem step by step, we will first define the variables and then use the information given in the question to find the age of Suresh and subsequently the age of his son.

### Step 1: Define Suresh's Present Age
Let Suresh's age at the time of his marriage be \( x \). According to the problem, Suresh was married 14 years ago. Therefore, his present age can be expressed as:
\[ \text{Present Age} = x + 14 \]

### Step 2: Set Up the Age Relationship
The problem states that Suresh's present age is \( \frac{3}{2} \) times his age at the time of marriage. Thus, we can write the equation:
\[ x + 14 = \frac{3}{2}x \]

### Step 3: Solve for \( x \)
To solve for \( x \), we will rearrange the equation:
\[ x + 14 = \frac{3}{2}x \]
Subtract \( x \) from both sides:
\[ 14 = \frac{3}{2}x - x \]
This simplifies to:
\[ 14 = \frac{3}{2}x - \frac{2}{2}x \]
\[ 14 = \frac{1}{2}x \]
Now, multiply both sides by 2 to isolate \( x \):
\[ x = 28 \]

### Step 4: Calculate Suresh's Present Age
Now that we have \( x \), we can find Suresh's present age:
\[ \text{Present Age} = x + 14 = 28 + 14 = 42 \]

### Step 5: Calculate Son's Age
According to the problem, Suresh's son's age is \( \frac{1}{3} \) of Suresh's present age. Therefore:
\[ \text{Son's Age} = \frac{1}{3} \times 42 = 14 \]

### Final Answer
Thus, the age of Suresh's son is:
\[ \boxed{14} \]