SSC CGL Exam > SSC CGL Videos > Crash Course for SSC CGL (English) > Problems on Ages - 1
Problems on Ages - 1 Video Lecture | Crash Course for SSC CGL (English)
FAQs on Problems on Ages - 1 Video Lecture - Crash Course for SSC CGL (English)
| 1. What are the key concepts in problems on ages? |  |
Ans. The key concepts in problems on ages include linear equations, ratios and proportions, and basic arithmetic operations such as addition, subtraction, multiplication, and division. These concepts are used to solve problems related to determining the present age, calculating the age difference between two individuals, and finding the age at a particular time in the past or future.
| 2. How can I solve problems on ages using linear equations? | |
Ans. To solve problems on ages using linear equations, you can start by assigning variables to the unknown ages. Then, set up equations based on the given information and use the equations to solve for the unknowns. For example, if the sum of two people's ages is 40 and one person is twice as old as the other, you can write the equation as x + 2x = 40, where x represents the age of the younger person. Solving this equation will give you the values of both individuals' ages.
| 3. How can I solve problems on ages involving ratios and proportions? | |
Ans. Problems on ages involving ratios and proportions can be solved by setting up a proportion based on the given information. For instance, if the ratio of a father's age to his son's age is 3:1 and the sum of their ages is 48, you can set up the proportion (father's age)/(son's age) = 3/1. Cross-multiplying and solving the equation will help you find the ages of both the father and the son.
| 4. What are some common mistakes to avoid while solving problems on ages? | |
Ans. While solving problems on ages, it is important to avoid the following common mistakes:
- Forgetting to assign variables to the unknown ages.
- Misinterpreting the given information and setting up incorrect equations or proportions.
- Making calculation errors while solving the equations or proportions.
- Neglecting to consider any additional conditions or constraints mentioned in the problem.
- Failing to double-check the final answer to ensure it satisfies all the given conditions.
| 5. Can you provide an example of a problem on ages and its solution? | |
Ans. Sure! Here's an example: The sum of the ages of a father and his son is 48. Five years ago, the father's age was three times the age of the son. Find their present ages.
Let the son's present age be x years.
Therefore, the father's present age is (48 - x) years.
According to the given information, (48 - x) - 5 = 3(x - 5).
Simplifying the equation, we get 48 - x - 5 = 3x - 15.
Combining like terms, 43 - x = 3x - 15.
Bringing all the x terms to one side, we have 2x = 58.
Dividing both sides by 2, we find x = 29.
Therefore, the son's present age is 29 years and the father's present age is 48 - 29 = 19 years.
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Nov 20, 2024 Last updated |
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