If Megh'a age is increased by three times her age, the result is `60` years. Find her age.

Options

A. `15` years
B. `16` years
C. `25` years
D. `13` years

Answer

To solve the problem of Megha's age, we can follow these steps:

1. **Let Megha's age be represented by a variable.**
We will denote Megha's age as \( x \).

2. **Translate the problem statement into an equation.**
According to the problem, if Megha's age is increased by three times her age, the result is 60 years. This can be expressed mathematically as:
\[ x + 3x = 60 \]
Here, \( x \) is her current age, and \( 3x \) is three times her age.

3. **Combine like terms.**
On the left side of the equation, we can combine \( x \) and \( 3x \):
\[ 4x = 60 \]

4. **Solve for \( x \).**
To find \( x \), we divide both sides of the equation by 4:
\[ x = \frac{60}{4} \]
Simplifying this gives:
\[ x = 15 \]

5. **Conclusion.**
Therefore, Megha's age is \( 15 \) years.