Solving the Age Puzzle: A Mathematical Challenge for SEO Enthusiasts

Mathematics often plays a surprising role in solving real-world problems, particularly when dealing with puzzles and riddles. In this article, we will dive into a classic age puzzle and break down the steps to solve it using algebraic equations. If you are an SEO professional, understanding such puzzles can enhance your problem-solving skills and make your content more engaging and shareable.

Introduction to the Age Puzzle

The puzzle involves three individuals: Pritam, Hari, and Pritam's cousin. The relationships among their ages and the total age can be summarized as follows:

Pritam is 3 years older than Hari. Pritam is 3 times younger than his cousin. The total age of all three is 67 years.

Understanding the Wordplay: “Three Times Younger”

The phrase “three times younger” can be confusing. In this context, it means that Pritam's age is one-third of his cousin’s age. Let’s break down this puzzle step by step.

Setting Up the Equations

Pritam is 3 years older than Hari.

Let’s denote:

P Pritam’s age H Hari’s age

Equation I: ( P H 3 )

Pritam is 3 times younger than his cousin.

Let’s denote:

C Pritam’s cousin’s age

Equation II: ( P frac{C}{3} )

The total age of all three is 67 years.

Total age equation: ( P H C 67 )

Solving the Equations

We have the following system of equations:

( P H 3 ) ( P frac{C}{3} ) ( P H C 67 )

First, we substitute Equation I into Equation II and solve for C:

( P frac{C}{3} ): ( H 3 frac{C}{3} )

Multiplying both sides by 3:

( 3(H 3) C )

( C 3H 9 )

Now, we substitute Equation I and the expression for C into Equation III to find H:

( (H 3) H (3H 9) 67 )

Simplifying:

( 5H 12 67 )

( 5H 67 - 12 )

( 5H 55 )

( H 55 / 5 )

( H 11 )

Hari’s age is 11. Now we can find Pritam’s and cousin’s ages:

( P H 3 )

( P 11 3 )

( P 14 )

( C 3H 9 )

( C 3(11) 9 )

( C 33 9 )

( C 42 )

Conclusion

Thus, we have determined the ages of Pritam, Hari, and Pritam’s cousin:

Harri is 11 years old. Pritam is 14 years old. His cousin is 42 years old.

These values satisfy all the given conditions. The solution can be expressed as the ordered triple (H, P, C) (11, 14, 42).

Summary of Steps

Assigned variables to the ages of Pritam, Hari, and his cousin. Set up and solved a system of algebraic equations. Substituted and simplified until the ages were determined.

Conclusion

Understanding and solving such puzzles can be both fun and educational, especially for SEO professionals who strive to create engaging and intellectually stimulating content. By incorporating elements of mathematics into your SEO strategy, you can attract a broader audience and boost your website’s SEO ranking.