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Sita's mother's present age is 6 times sita's present age .5 years from now sita's age will be one- third of his mother's age find their current age?
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Sita's mother's present age is 6 times sita's present age .5 years fro...
Understanding the Problem
We need to find the current ages of Sita and her mother based on the following information:
- Sita's mother's age is 6 times Sita's age.
- In 5 years, Sita's age will be one-third of her mother's age.
Setting Up the Variables
- Let Sita's current age be represented as "S".
- Then, her mother's current age is "6S".
Formulating the Equation
In 5 years:
- Sita's age will be S + 5.
- Her mother's age will be 6S + 5.
According to the problem, we have the equation:
- S + 5 = (1/3)(6S + 5)
Solving the Equation
Now, we can solve the equation step-by-step:
1. Multiply both sides by 3 to eliminate the fraction:
3(S + 5) = 6S + 5
2. This simplifies to:
3S + 15 = 6S + 5
3. Rearranging gives us:
15 - 5 = 6S - 3S
10 = 3S
4. Solving for S:
S = 10/3 ≈ 3.33 years.
This indicates Sita's current age.
Finding Mother's Age
Using Sita's age to find her mother's age:
- Mother’s age = 6S = 6 * (10/3) = 20 years.
Conclusion
- Sita's current age: approximately 3.33 years.
- Mother's current age: 20 years.
This solution showcases how mathematical reasoning can help determine current ages based on given relationships.
We need to find the current ages of Sita and her mother based on the following information:
- Sita's mother's age is 6 times Sita's age.
- In 5 years, Sita's age will be one-third of her mother's age.
Setting Up the Variables
- Let Sita's current age be represented as "S".
- Then, her mother's current age is "6S".
Formulating the Equation
In 5 years:
- Sita's age will be S + 5.
- Her mother's age will be 6S + 5.
According to the problem, we have the equation:
- S + 5 = (1/3)(6S + 5)
Solving the Equation
Now, we can solve the equation step-by-step:
1. Multiply both sides by 3 to eliminate the fraction:
3(S + 5) = 6S + 5
2. This simplifies to:
3S + 15 = 6S + 5
3. Rearranging gives us:
15 - 5 = 6S - 3S
10 = 3S
4. Solving for S:
S = 10/3 ≈ 3.33 years.
This indicates Sita's current age.
Finding Mother's Age
Using Sita's age to find her mother's age:
- Mother’s age = 6S = 6 * (10/3) = 20 years.
Conclusion
- Sita's current age: approximately 3.33 years.
- Mother's current age: 20 years.
This solution showcases how mathematical reasoning can help determine current ages based on given relationships.
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Sita's mother's present age is 6 times sita's present age .5 years from now sita's age will be one- third of his mother's age find their current age?
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Sita's mother's present age is 6 times sita's present age .5 years from now sita's age will be one- third of his mother's age find their current age? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Sita's mother's present age is 6 times sita's present age .5 years from now sita's age will be one- third of his mother's age find their current age? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Sita's mother's present age is 6 times sita's present age .5 years from now sita's age will be one- third of his mother's age find their current age?.
Sita's mother's present age is 6 times sita's present age .5 years from now sita's age will be one- third of his mother's age find their current age? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Sita's mother's present age is 6 times sita's present age .5 years from now sita's age will be one- third of his mother's age find their current age? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Sita's mother's present age is 6 times sita's present age .5 years from now sita's age will be one- third of his mother's age find their current age?.
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