Aman’s age is 15 years more than three times Ravi’s age. If Aman’s age is 60 years, find Ravi’s age.

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Points to Remember:

  • This is a word problem involving a simple algebraic equation.
  • We need to translate the word problem into a mathematical equation.
  • Solving the equation will give us Ravi’s age.

Introduction:

This question is a classic example of an age-related word problem commonly encountered in elementary algebra. These problems require careful reading to translate the given information into a mathematical equation that can then be solved to find the unknown variable (in this case, Ravi’s age). Word problems are crucial for developing problem-solving skills and applying mathematical concepts to real-world scenarios.

Body:

1. Defining the Variables:

Let’s represent Aman’s age as ‘A’ and Ravi’s age as ‘R’.

2. Translating the Word Problem into an Equation:

The problem states: “Aman’s age is 15 years more than three times Ravi’s age.” This can be written as:

A = 3R + 15

3. Substituting the Known Value:

We are given that Aman’s age (A) is 60 years. Substituting this into the equation:

60 = 3R + 15

4. Solving the Equation:

Now we solve for R (Ravi’s age):

60 – 15 = 3R
45 = 3R
R = 45 / 3
R = 15

Therefore, Ravi’s age is 15 years.

Conclusion:

In summary, by carefully translating the word problem into an algebraic equation and then solving for the unknown variable, we determined that Ravi is 15 years old. This simple problem highlights the importance of translating real-world scenarios into mathematical models to solve them effectively. The ability to formulate and solve such equations is a fundamental skill in mathematics and has broad applications in various fields. Developing this skill fosters critical thinking and problem-solving abilities, contributing to a more holistic understanding of mathematical concepts and their practical relevance.

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