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Video: Some Applications of Linear Equations: Finding Present Ages (Table Method) Video Lecture | Advance Learner Course: Mathematics (Maths) Class 7

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FAQs on Video: Some Applications of Linear Equations: Finding Present Ages (Table Method) Video Lecture - Advance Learner Course: Mathematics (Maths) Class 7

1. How can linear equations be used to find present ages?
Ans. Linear equations can be used to find present ages by setting up a system of equations based on the given information. By assigning variables to the unknown ages, we can create equations that represent the relationships between the ages. Solving this system of equations will give us the values of the present ages.
2. What is the table method for solving applications of linear equations?
Ans. The table method for solving applications of linear equations involves creating a table with columns representing the given information and unknowns. By filling in the table with the known information and using variables for the unknowns, we can create a system of equations. Solving this system will allow us to find the values of the unknowns.
3. Can you provide an example of how the table method is used to find present ages?
Ans. Sure! Let's say we are given that the sum of John's age and his sister's age is 40. We also know that John is 5 years older than his sister. To find their present ages using the table method, we can create a table with columns for John's age, his sister's age, and the given information. By filling in the known information, we can create the equation: John's age + his sister's age = 40. We can also represent the relationship that John is 5 years older than his sister as: John's age = his sister's age + 5. By solving this system of equations, we can find the values of John's age and his sister's age.
4. Are there any limitations to using linear equations for finding present ages?
Ans. Yes, there can be limitations to using linear equations for finding present ages. Linear equations assume that the rate of change remains constant over time, which may not accurately represent real-life situations. Additionally, linear equations may not account for factors such as growth spurts, varying rates of development, or other external factors that can impact age. Therefore, while linear equations can provide a good estimate, they may not always reflect the exact present ages.
5. Can the table method be used for more complex problems involving present ages?
Ans. Yes, the table method can be used for more complex problems involving present ages. By creating a table with additional columns for each known piece of information and using variables for the unknowns, we can still set up a system of equations. The table method allows us to organize the given information and systematically solve for the unknowns, making it applicable to both simple and complex problems involving present ages.
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