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Shubh is 30 years old and Niku is 25 years old. How long ago was the ratio of their ages 3. 2?
- a)10 years
- b)15 years
- c)20 years
- d)25 years
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Shubh is 30 years old and Niku is 25 years old. How long ago was the r...
Here, we have to calculate: How many years ago the ratio of their ages was 3:2. Let us assume x years ago
At present: Shubh is 30 years and Niku is 25 years
x years ago: Shubh’s age = (30 – x) and Niku's age = (25 – x)
Given, the ratio of their ages was 3:2
Solving, we get: x = 15
Therefore, the answer is 15 years.
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Shubh is 30 years old and Niku is 25 years old. How long ago was the r...
Understanding the Age Problem
To determine how long ago the age ratio of Shubh and Niku was 3:2, we start with their current ages:
- Shubh: 30 years
- Niku: 25 years
Let’s denote the number of years ago we need to find as "x."
Setting Up the Equation
The ages of Shubh and Niku "x" years ago would be:
- Shubh's age: 30 - x
- Niku's age: 25 - x
The ratio of their ages back then was 3:2. Therefore, we can set up the equation:
(30 - x) / (25 - x) = 3 / 2
Cross-Multiplying
To eliminate the fraction, we cross-multiply:
2(30 - x) = 3(25 - x)
Expanding both sides gives us:
60 - 2x = 75 - 3x
Simplifying the Equation
Now, we rearrange the equation to isolate "x":
- Add 3x to both sides:
60 + x = 75
- Subtract 60 from both sides:
x = 75 - 60
x = 15
Conclusion
Thus, the number of years ago when the ratio of their ages was 3:2 is:
- 15 years ago
Therefore, the correct answer is option 'B'.
This systematic approach helps clarify how the ages relate over time, making it easier to solve similar problems in the future.
To determine how long ago the age ratio of Shubh and Niku was 3:2, we start with their current ages:
- Shubh: 30 years
- Niku: 25 years
Let’s denote the number of years ago we need to find as "x."
Setting Up the Equation
The ages of Shubh and Niku "x" years ago would be:
- Shubh's age: 30 - x
- Niku's age: 25 - x
The ratio of their ages back then was 3:2. Therefore, we can set up the equation:
(30 - x) / (25 - x) = 3 / 2
Cross-Multiplying
To eliminate the fraction, we cross-multiply:
2(30 - x) = 3(25 - x)
Expanding both sides gives us:
60 - 2x = 75 - 3x
Simplifying the Equation
Now, we rearrange the equation to isolate "x":
- Add 3x to both sides:
60 + x = 75
- Subtract 60 from both sides:
x = 75 - 60
x = 15
Conclusion
Thus, the number of years ago when the ratio of their ages was 3:2 is:
- 15 years ago
Therefore, the correct answer is option 'B'.
This systematic approach helps clarify how the ages relate over time, making it easier to solve similar problems in the future.
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Shubh is 30 years old and Niku is 25 years old. How long ago was the ratio of their ages 3. 2?a)10 yearsb)15 yearsc)20 yearsd)25 yearsCorrect answer is option 'B'. Can you explain this answer? for Class 12 2025 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about Shubh is 30 years old and Niku is 25 years old. How long ago was the ratio of their ages 3. 2?a)10 yearsb)15 yearsc)20 yearsd)25 yearsCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 12 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Shubh is 30 years old and Niku is 25 years old. How long ago was the ratio of their ages 3. 2?a)10 yearsb)15 yearsc)20 yearsd)25 yearsCorrect answer is option 'B'. Can you explain this answer?.
Shubh is 30 years old and Niku is 25 years old. How long ago was the ratio of their ages 3. 2?a)10 yearsb)15 yearsc)20 yearsd)25 yearsCorrect answer is option 'B'. Can you explain this answer? for Class 12 2025 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about Shubh is 30 years old and Niku is 25 years old. How long ago was the ratio of their ages 3. 2?a)10 yearsb)15 yearsc)20 yearsd)25 yearsCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 12 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Shubh is 30 years old and Niku is 25 years old. How long ago was the ratio of their ages 3. 2?a)10 yearsb)15 yearsc)20 yearsd)25 yearsCorrect answer is option 'B'. Can you explain this answer?.
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