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10 years ago the age of father was 4 times his son. 10 years hence the age of the father will be twice that of his son the percentage of the father and the son are?
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10 years ago the age of father was 4 times his son. 10 years hence the...
Given Information:
- 10 years ago, the age of the father was 4 times that of his son.
- 10 years from now, the age of the father will be twice that of his son.
Let's represent the ages of the father and son:
- Let the current age of the father be F and the current age of the son be S.
Forming Equations:
- From the given information, we can form two equations:
1. (F - 10) = 4(S - 10) [10 years ago, the age of the father was 4 times his son]
2. (F + 10) = 2(S + 10) [10 years hence, the age of the father will be twice that of his son]
Solving the Equations:
- By solving the above equations, we get:
1. F = 4S - 30
2. F = 2S + 10
- Equating the two equations for F, we get:
4S - 30 = 2S + 10
2S = 40
S = 20
- Substituting the value of S back into one of the equations, we get:
F = 2(20) + 10
F = 50
Calculating the Percentage:
- The percentage of the father's age compared to the total age (father + son) is:
Father's age percentage = (50 / (50 + 20)) * 100 = 71.43%
- The percentage of the son's age compared to the total age is:
Son's age percentage = (20 / (50 + 20)) * 100 = 28.57%
Conclusion:
- The father's age is 50 years, which is 71.43% of the total age, and the son's age is 20 years, which is 28.57% of the total age.
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10 years ago the age of father was 4 times his son. 10 years hence the age of the father will be twice that of his son the percentage of the father and the son are?
Question Description
10 years ago the age of father was 4 times his son. 10 years hence the age of the father will be twice that of his son the percentage of the father and the son are? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about 10 years ago the age of father was 4 times his son. 10 years hence the age of the father will be twice that of his son the percentage of the father and the son are? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 10 years ago the age of father was 4 times his son. 10 years hence the age of the father will be twice that of his son the percentage of the father and the son are?.
10 years ago the age of father was 4 times his son. 10 years hence the age of the father will be twice that of his son the percentage of the father and the son are? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about 10 years ago the age of father was 4 times his son. 10 years hence the age of the father will be twice that of his son the percentage of the father and the son are? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 10 years ago the age of father was 4 times his son. 10 years hence the age of the father will be twice that of his son the percentage of the father and the son are?.
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