Ram is 4 times his son's age today. Five years hence, Ram will be thrice his son's age. Find their current ages ?
A. 60,15
B. 40,10
C. 20,5
D. 32,8

Options

A. A
B. C
C. B
D. D

Answer

To solve the problem, we can follow these steps:

### Step 1: Define Variables
Let the current age of Ram's son be \( x \) years. Since Ram is 4 times his son's age, Ram's current age will be \( 4x \) years.

### Step 2: Set Up the Future Age Equation
In 5 years, Ram's age will be \( 4x + 5 \) and his son's age will be \( x + 5 \). According to the problem, in 5 years, Ram will be three times his son's age. Therefore, we can set up the equation:
\[ 4x + 5 = 3(x + 5) \]

### Step 3: Expand and Simplify the Equation
Now, we will expand the right side of the equation:
\[ 4x + 5 = 3x + 15 \]
Next, we will isolate \( x \) by moving all terms involving \( x \) to one side and constant terms to the other side:
\[ 4x - 3x = 15 - 5 \]
This simplifies to:
\[ x = 10 \]

### Step 4: Calculate Ram's Age
Now that we have the son's age, we can find Ram's age:
\[ \text{Ram's age} = 4x = 4 \times 10 = 40 \]

### Step 5: Conclusion
Thus, the current ages are:
- Ram's age: 40 years
- Son's age: 10 years

### Final Answer
The current ages of Ram and his son are 40 years and 10 years, respectively.