Ramesh's father's present age is three times Ramesh's age.After 12 years ,his father's age will be twice his age.find theri present age.

Let Ramesh's present age be \( x \). Since Ramesh's father's present age is three times Ramesh's age, his father's present age is \( 3x \).

According to the problem, after 12 years, Ramesh's father's age will be twice Ramesh's age. So, in 12 years:
- Ramesh's age will be \( x + 12 \),
- His father's age will be \( 3x + 12 \).

The problem states that after 12 years, the father's age will be twice Ramesh's age:
\[
3x + 12 = 2(x + 12)
\]

### Solve the equation:

1. Expand both sides:
\[
3x + 12 = 2x + 24
\]

2. Subtract \( 2x \) from both sides:
\[
x + 12 = 24
\]

3. Subtract 12 from both sides:
\[
x = 12
\]

So, Ramesh's present age is \( 12 \) years.

Since Ramesh's father's age is three times Ramesh's age, his father's present age is:
\[
3 \times 12 = 36
\]

### Conclusion:
- Ramesh's present age is 12 years.
- His father's present age is 36 years.

Would you like more details or have any questions?

Here are some related questions:
1. What would be the ratio of their ages in 5 years?
2. How many years will it take for the father to be exactly 1.5 times Ramesh's age?
3. If the father's age was four times Ramesh's age 5 years ago, what is the current age difference between them?
4. How would the equation change if the father's age was 2.5 times Ramesh's age currently?
5. How do age-related algebraic equations change if there are more variables involved, such as multiple siblings?

**Tip:** When solving word problems, it's helpful to translate words into equations by defining variables for unknowns.

Ramesh's father's present age is three times Ramesh's age. After 12 years, his father's age will be twice his age. Find their present age.

Discover how to solve the age-related word problem where Ramesh's father's present age is three times his own, and in 12 years, his father will be twice his age. This problem introduces algebra and linear equations suitable for students in Grades 6-8.

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