Understanding the Problem and Solving with Basic Arithmetic

Let's explore the common mathematical puzzle that involves determining the current age of a sister given the age difference and a historical comparison point. This type of problem is not only fun but also helps in reinforcing basic arithmetic skills such as addition and subtraction.

The problem statement is as follows: When a girl was 6, her sister was 14. Now, the girl is 10. How old is her sister?

Step-by-Step Solution

The key to solving this problem is to recognize that the age difference between the two sisters remains constant over time. Here's how to approach it:

Identify the age gap: When the girl was 6, her sister was 14. The difference in their ages is calculated as follows: Age of sister - Age of girl Age gap 14 - 6 8 Since the age gap is constant, we can use the girl's current age to find the sister's current age: Current age of girl 10 Current age of sister Current age of girl Age gap 10 8 18

Alternative Methods

For those who want to vary their approach, here are a few alternative methods:

Direct Subtraction and Addition: You could subtract the girl's past age from her current age and add that result to the sister's past age: 22 - 4 18 (The girl grew 18 years from 4 to 22) 13 18 31 Subtraction and Addition Again: Another method is to subtract the girl's past age from her current age and add that to the sister's past age: 22 - 10 12 (The girl grew 12 years from 10 to 22) 13 12 25

It's important to note that the simplest and most straightforward method is recommended for clear understanding and accuracy.

Math Is Everywhere, Even in Everyday Life

Mathematical puzzles and age calculations are not just exercises in algebra or arithmetic. They are practical tools that help us understand relationships and changes over time. Such problems can be found in various real-life scenarios, such as calculating the age of a child based on a relative's age or determining how old someone will be in a few years.

Conclusion

The age of the sister in the given problem is clearly 31. The key to solving these types of problems is to recognize that the age gap remains constant and use simple arithmetic to find the answer.

Additional Resources

For further practice and learning, you can explore more age-related puzzles and problems. There are many online resources and books that focus on improving arithmetic skills and logical thinking through engaging problems.