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15 years ago kanika's father was five times as old as Kanika after 15 years her father will be thrice as old as her the present age of Kanika is?
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15 years ago kanika's father was five times as old as Kanika after 15 ...
Problem Statement
To find Kanika's present age based on the conditions given about her father's age.
Let’s Define Variables
- Let Kanika’s present age be K years.
- Let her father’s present age be F years.
Conditions Given
- 15 years ago, Kanika's father was five times as old as Kanika:
- Equation 1: F - 15 = 5(K - 15)
- 15 years from now, her father will be three times as old as Kanika:
- Equation 2: F + 15 = 3(K + 15)
Solving the Equations
1. From Equation 1:
- F - 15 = 5(K - 15)
- F - 15 = 5K - 75
- F = 5K - 60 (Equation A)
2. From Equation 2:
- F + 15 = 3(K + 15)
- F + 15 = 3K + 45
- F = 3K + 30 (Equation B)
3. Equate Equation A and Equation B:
- 5K - 60 = 3K + 30
- 5K - 3K = 30 + 60
- 2K = 90
- K = 45
Conclusion
- Kanika’s present age is 45 years.
- To verify: If K = 45, then F = 5(45) - 60 = 165 - 60 = 105.
- Check conditions: 15 years ago, Kanika was 30 and her father was 90 (which is 5 times 30).
- In 15 years, Kanika will be 60 and her father will be 120 (which is 3 times 60).
Thus, the answer is consistent with the conditions provided.
To find Kanika's present age based on the conditions given about her father's age.
Let’s Define Variables
- Let Kanika’s present age be K years.
- Let her father’s present age be F years.
Conditions Given
- 15 years ago, Kanika's father was five times as old as Kanika:
- Equation 1: F - 15 = 5(K - 15)
- 15 years from now, her father will be three times as old as Kanika:
- Equation 2: F + 15 = 3(K + 15)
Solving the Equations
1. From Equation 1:
- F - 15 = 5(K - 15)
- F - 15 = 5K - 75
- F = 5K - 60 (Equation A)
2. From Equation 2:
- F + 15 = 3(K + 15)
- F + 15 = 3K + 45
- F = 3K + 30 (Equation B)
3. Equate Equation A and Equation B:
- 5K - 60 = 3K + 30
- 5K - 3K = 30 + 60
- 2K = 90
- K = 45
Conclusion
- Kanika’s present age is 45 years.
- To verify: If K = 45, then F = 5(45) - 60 = 165 - 60 = 105.
- Check conditions: 15 years ago, Kanika was 30 and her father was 90 (which is 5 times 30).
- In 15 years, Kanika will be 60 and her father will be 120 (which is 3 times 60).
Thus, the answer is consistent with the conditions provided.
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15 years ago kanika's father was five times as old as Kanika after 15 years her father will be thrice as old as her the present age of Kanika is?
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15 years ago kanika's father was five times as old as Kanika after 15 years her father will be thrice as old as her the present age of Kanika is? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about 15 years ago kanika's father was five times as old as Kanika after 15 years her father will be thrice as old as her the present age of Kanika is? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 15 years ago kanika's father was five times as old as Kanika after 15 years her father will be thrice as old as her the present age of Kanika is?.
15 years ago kanika's father was five times as old as Kanika after 15 years her father will be thrice as old as her the present age of Kanika is? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about 15 years ago kanika's father was five times as old as Kanika after 15 years her father will be thrice as old as her the present age of Kanika is? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 15 years ago kanika's father was five times as old as Kanika after 15 years her father will be thrice as old as her the present age of Kanika is?.
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