Shyam’s father’s age is 5 years more than three times Shyam’s age. Shyam’s father is 47 years old. Find Shyam’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 Shyam’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 and translation of the given information into a mathematical expression that can be solved. The core skill involved is forming and solving linear equations. The question provides us with a relationship between Shyam’s age and his father’s age, allowing us to determine Shyam’s age.

Body:

1. Defining the Variables:

Let’s represent Shyam’s age with the variable ‘x’. His father’s age is given as 47 years.

2. Translating the Word Problem into an Equation:

The problem states: “Shyam’s father’s age is 5 years more than three times Shyam’s age.” We can translate this into an equation:

Father’s age = 3 * Shyam’s age + 5

Substituting the known values, we get:

47 = 3x + 5

3. Solving the Equation:

Now we solve for ‘x’ (Shyam’s age):

47 – 5 = 3x
42 = 3x
x = 42 / 3
x = 14

4. Verifying the Solution:

Let’s check if our solution is correct. If Shyam is 14, his father’s age would be (3 * 14) + 5 = 42 + 5 = 47. This matches the given information.

Conclusion:

Therefore, Shyam’s age is 14 years old. The problem highlights the importance of carefully translating word problems into mathematical equations. By systematically defining variables, forming the correct equation, and solving it accurately, we arrived at the solution. This simple problem demonstrates the practical application of basic algebra in everyday scenarios. The ability to solve such problems fosters logical reasoning and problem-solving skills, crucial for holistic development.

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