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Sudhir present age is 5 more than viru. anil's age is half the age of sudhir . if the ratio of the sum of sudhir and viru's age to the three times of anil age is 5:6,then find viru's age?
Most Upvoted Answer
Sudhir present age is 5 more than viru. anil's age is half the age of ...
Understanding the Problem
To find Viru's age, let’s define the variables based on the information given:
- Let Sudhir's age be S.
- Let Viru's age be V.
- Let Anil's age be A.
Setting Up the Equations
1. From the problem, we know:
- Sudhir's age is 5 years more than Viru's age:
- S = V + 5
2. Anil's age is half of Sudhir's age:
- A = S / 2
3. We have a ratio involving the sum of Sudhir's and Viru's ages and three times Anil's age:
- (S + V) / (3A) = 5 / 6
Substituting the Values
- Substitute S and A in the ratio equation:
- S + V = (V + 5) + V = 2V + 5
- A = (V + 5) / 2
- Therefore, we can rewrite the ratio as:
- (2V + 5) / (3 * (V + 5) / 2) = 5 / 6
Simplifying the Equation
- Cross-multiply to eliminate the fraction:
- 6(2V + 5) = 5 * (3 * (V + 5) / 2)
- This simplifies to:
- 12V + 30 = 15(V + 5)
- Expanding and simplifying further:
- 12V + 30 = 15V + 75
- 3V = 45
- V = 15
Conclusion
Thus, Viru's age is 15 years.
To find Viru's age, let’s define the variables based on the information given:
- Let Sudhir's age be S.
- Let Viru's age be V.
- Let Anil's age be A.
Setting Up the Equations
1. From the problem, we know:
- Sudhir's age is 5 years more than Viru's age:
- S = V + 5
2. Anil's age is half of Sudhir's age:
- A = S / 2
3. We have a ratio involving the sum of Sudhir's and Viru's ages and three times Anil's age:
- (S + V) / (3A) = 5 / 6
Substituting the Values
- Substitute S and A in the ratio equation:
- S + V = (V + 5) + V = 2V + 5
- A = (V + 5) / 2
- Therefore, we can rewrite the ratio as:
- (2V + 5) / (3 * (V + 5) / 2) = 5 / 6
Simplifying the Equation
- Cross-multiply to eliminate the fraction:
- 6(2V + 5) = 5 * (3 * (V + 5) / 2)
- This simplifies to:
- 12V + 30 = 15(V + 5)
- Expanding and simplifying further:
- 12V + 30 = 15V + 75
- 3V = 45
- V = 15
Conclusion
Thus, Viru's age is 15 years.
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Sudhir present age is 5 more than viru. anil's age is half the age of sudhir . if the ratio of the sum of sudhir and viru's age to the three times of anil age is 5:6,then find viru's age?
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Sudhir present age is 5 more than viru. anil's age is half the age of sudhir . if the ratio of the sum of sudhir and viru's age to the three times of anil age is 5:6,then find viru's age? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about Sudhir present age is 5 more than viru. anil's age is half the age of sudhir . if the ratio of the sum of sudhir and viru's age to the three times of anil age is 5:6,then find viru's age? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Sudhir present age is 5 more than viru. anil's age is half the age of sudhir . if the ratio of the sum of sudhir and viru's age to the three times of anil age is 5:6,then find viru's age?.
Sudhir present age is 5 more than viru. anil's age is half the age of sudhir . if the ratio of the sum of sudhir and viru's age to the three times of anil age is 5:6,then find viru's age? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about Sudhir present age is 5 more than viru. anil's age is half the age of sudhir . if the ratio of the sum of sudhir and viru's age to the three times of anil age is 5:6,then find viru's age? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Sudhir present age is 5 more than viru. anil's age is half the age of sudhir . if the ratio of the sum of sudhir and viru's age to the three times of anil age is 5:6,then find viru's age?.
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