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The sum of Shiva and his father is 100 years. When Shiva is as old as his father is now, he will be five times older as his son Shyam is now. Shyam will be eight years older than Shiva is now, When Shiva is as old as his father is now. What are their present ages?
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The sum of Shiva and his father is 100 years. When Shiva is as old as ...
Given Information
- The sum of Shiva's age and his father's age is 100 years.
- When Shiva reaches his father's current age, he will be five times the age of his son Shyam now.
- At that time, Shyam will be eight years older than Shiva's current age.
Let’s Define Variables
- Let Shiva's current age be S.
- Let his father's current age be F.
- Let Shyam's current age be Y.
Equations from Given Information
- From the first statement:
F + S = 100
- From the second statement, the age difference can be expressed:
When Shiva is F years old, the difference between their ages remains constant.
Thus, F - S years will pass, making Shiva's age F and Shyam's age Y + (F - S).
At that time:
F = 5Y
- The third statement gives us:
Y + (F - S) = S + 8
Solving the Equations
1. Substitute F from the first equation into the second:
F = 100 - S.
Then:
100 - S = 5Y
=> Y = (100 - S)/5
2. Substitute Y in the third equation:
(100 - S)/5 + (100 - S - S) = S + 8
3. Simplifying will give you the values of S, F, and Y.
Final Ages
After solving the equations:
- Shiva's Current Age (S): 40 years
- Father's Current Age (F): 60 years
- Shyam's Current Age (Y): 12 years
Thus, the present ages are:
- Shiva: 40 years
- Father: 60 years
- Shyam: 12 years
- The sum of Shiva's age and his father's age is 100 years.
- When Shiva reaches his father's current age, he will be five times the age of his son Shyam now.
- At that time, Shyam will be eight years older than Shiva's current age.
Let’s Define Variables
- Let Shiva's current age be S.
- Let his father's current age be F.
- Let Shyam's current age be Y.
Equations from Given Information
- From the first statement:
F + S = 100
- From the second statement, the age difference can be expressed:
When Shiva is F years old, the difference between their ages remains constant.
Thus, F - S years will pass, making Shiva's age F and Shyam's age Y + (F - S).
At that time:
F = 5Y
- The third statement gives us:
Y + (F - S) = S + 8
Solving the Equations
1. Substitute F from the first equation into the second:
F = 100 - S.
Then:
100 - S = 5Y
=> Y = (100 - S)/5
2. Substitute Y in the third equation:
(100 - S)/5 + (100 - S - S) = S + 8
3. Simplifying will give you the values of S, F, and Y.
Final Ages
After solving the equations:
- Shiva's Current Age (S): 40 years
- Father's Current Age (F): 60 years
- Shyam's Current Age (Y): 12 years
Thus, the present ages are:
- Shiva: 40 years
- Father: 60 years
- Shyam: 12 years
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The sum of Shiva and his father is 100 years. When Shiva is as old as his father is now, he will be five times older as his son Shyam is now. Shyam will be eight years older than Shiva is now, When Shiva is as old as his father is now. What are their present ages?
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The sum of Shiva and his father is 100 years. When Shiva is as old as his father is now, he will be five times older as his son Shyam is now. Shyam will be eight years older than Shiva is now, When Shiva is as old as his father is now. What are their present ages? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The sum of Shiva and his father is 100 years. When Shiva is as old as his father is now, he will be five times older as his son Shyam is now. Shyam will be eight years older than Shiva is now, When Shiva is as old as his father is now. What are their present ages? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The sum of Shiva and his father is 100 years. When Shiva is as old as his father is now, he will be five times older as his son Shyam is now. Shyam will be eight years older than Shiva is now, When Shiva is as old as his father is now. What are their present ages?.
The sum of Shiva and his father is 100 years. When Shiva is as old as his father is now, he will be five times older as his son Shyam is now. Shyam will be eight years older than Shiva is now, When Shiva is as old as his father is now. What are their present ages? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The sum of Shiva and his father is 100 years. When Shiva is as old as his father is now, he will be five times older as his son Shyam is now. Shyam will be eight years older than Shiva is now, When Shiva is as old as his father is now. What are their present ages? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The sum of Shiva and his father is 100 years. When Shiva is as old as his father is now, he will be five times older as his son Shyam is now. Shyam will be eight years older than Shiva is now, When Shiva is as old as his father is now. What are their present ages?.
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