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Let’s talk ages! Six years ago, Kunal and Sagar had ages in a 6:5 ratio. Jump ahead four years, and the ratio is now 11:10. Dive into the numbers to figure out how old Sagar is today!
Six years ago, the Ratio of the ages of Kunal and Sagar was 6:5. Four years hence, The ratio of their ages will be 11:10. What is Sagars age at present?
Sagar’s current age is 16 years old.
Here’s the explanation:
Let the ages of Kunal and Sagar 6 years ago be 6x and 5x years respectively.
Then, four years hence, their ages will be 6x+10 and 5x+10.
The given information can be written as the equation:
6x+10 / 5x+10 = 11/10
To solve this equation:
10(6x+10) = 11(5x+10)
Simplify:
60 x + 100 = 55x + 110
Subtract 55x from both sides:
5x=10
Divide by 5:
x=2
Now, Sagar’s present age is 5x+6:
5(2)+6 = 10+6 = 16
Therefore, Sagar’s present age is 16 years.
Word Problems in Mathematics
Word problems in mathematics play a crucial role in developing diverse skills and understanding the practical applications of math. Here’s a breakdown of their significance:
1. Bridging the Gap Between Abstraction and Reality:
- Math concepts often appear abstract and disconnected from daily life. Word problems bridge this gap by presenting mathematical situations in real-world contexts, like shopping, cooking, or travel. This makes math more relevant and meaningful for students.
2. Strengthening Problem-Solving Skills:
- Word problems typically involve more than just applying a single formula. They require students to analyze the information, identify relevant mathematical concepts, choose an appropriate approach, and interpret the solution in the context of the problem. This strengthens their overall problem-solving skills, logical reasoning, and critical thinking abilities.
3. Boosting Creativity and Flexibility:
- There’s often no single “correct” way to solve a word problem. Students have to be flexible and creative in their approach, exploring different strategies and adapting to the specifics of the problem. This fosters inventiveness and helps them think outside the box.
4. Enhancing Communication and Comprehension:
- Word problems require students to read carefully, translate words into mathematical language, and communicate their solutions clearly. This improves their reading comprehension, vocabulary, and ability to express themselves logically.
5. Building Confidence and Resilience:
- Successfully solving challenging word problems can be a confidence booster for students. It demonstrates their ability to apply math skills to real-world scenarios and shows them the power of perseverance when faced with difficulties.
Beyond academic benefits, word problems also:
- Prepare students for future careers that require strong problem-solving and analytical skills.
- Make math more engaging and enjoyable when students see its connection to their everyday lives.
- Contribute to well-rounded development by nurturing critical thinking, creativity, and communication skills.
Overall, word problems are not just about finding the right answer; they’re about nurturing a comprehensive understanding of math and its vital role in the world around us.
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Source: Math Hello Kitty
Categories: Math
