Ramesh's age is 52 yr and he is 4 yr more than twice the age of his son whose age is x yr, which of the following relation is true?

Options

A. `52 = 2x - 4`
B. `52 = 2x + 4`
C. `x + 4 = 52`
D. `2(x + 4) = 52`

Answer

To solve the problem step by step, we will establish the relationship between Ramesh's age and his son's age based on the information given.

### Step 1: Identify Ramesh's Age
Ramesh's age is given as 52 years.

### Step 2: Define the Son's Age
Let the age of Ramesh's son be represented by \( x \) years.

### Step 3: Establish the Relationship
According to the problem, Ramesh's age is 4 years more than twice the age of his son. This can be expressed mathematically as:
\[ \text{Ramesh's Age} = 2 \times \text{Son's Age} + 4 \]
Substituting the known values:
\[ 52 = 2x + 4 \]

### Step 4: Solve for \( x \)
Now, we will solve the equation for \( x \):
1. Subtract 4 from both sides:
\[ 52 - 4 = 2x \]
\[ 48 = 2x \]
2. Divide both sides by 2:
\[ x = \frac{48}{2} \]
\[ x = 24 \]

### Conclusion
The age of Ramesh's son is \( 24 \) years. The relation we established, \( 52 = 2x + 4 \), is true.