Math Problem Statement
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.
Solution
Let Ramesh's present age be . Since Ramesh's father's present age is three times Ramesh's age, his father's present age is .
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 ,
- His father's age will be .
The problem states that after 12 years, the father's age will be twice Ramesh's age:
Solve the equation:
-
Expand both sides:
-
Subtract from both sides:
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Subtract 12 from both sides:
So, Ramesh's present age is years.
Since Ramesh's father's age is three times Ramesh's age, his father's present age is:
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:
- What would be the ratio of their ages in 5 years?
- How many years will it take for the father to be exactly 1.5 times Ramesh's age?
- If the father's age was four times Ramesh's age 5 years ago, what is the current age difference between them?
- How would the equation change if the father's age was 2.5 times Ramesh's age currently?
- 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.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Formulas
Equation of the form ax + b = cx + d
Theorems
Basic principles of solving linear equations
Suitable Grade Level
Grades 6-8
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