Surya is 25 years older than his son .In 5 years , he will be twice as old as his son . What will be Surya 's sge after 3 years ?

A.20

B. 23

C. 45

D. 48

Options

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

Answer

To solve the problem, let's define the variables and set up the equations based on the information given.

1. **Define Variables:**
Let the current age of Surya's son be \( x \) years.
Since Surya is 25 years older than his son, Surya's current age will be \( x + 25 \) years.

2. **Set Up the Equation for Future Ages:**
In 5 years, the son's age will be \( x + 5 \) years, and Surya's age will be \( (x + 25) + 5 = x + 30 \) years.

According to the problem, in 5 years, Surya will be twice as old as his son:
\[ x + 30 = 2(x + 5) \]

3. **Solve the Equation:**
Now, we can solve the equation:
\[ x + 30 = 2x + 10 \]
Rearranging gives:
\[ 30 - 10 = 2x - x \]
\[ 20 = x \]

4. **Find Surya's Current Age:**
Now that we have found \( x \), which is the current age of Surya's son, we can find Surya's current age:
\[ \text{Surya's age} = x + 25 = 20 + 25 = 45 \text{ years} \]

5. **Calculate Surya's Age After 3 Years:**
To find Surya's age after 3 years, we add 3 to his current age:
\[ \text{Surya's age after 3 years} = 45 + 3 = 48 \text{ years} \]

Thus, Surya's age after 3 years will be **48 years**.