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If the average age of A and B is 44 years and the ratio of the age of A to that of B is 5 : 6, what was the ratio of the age of A to that of B 16 years back?
- a)1 : 2
- b)2 : 3
- c)3 : 4
- d)4 : 5
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
If the average age of A and B is 44 years and the ratio of the age of ...
Sum of the current ages = 44 × 2 = 88 years
So the answer = 40 – 16 : 48 – 16 = 24 : 32 = 3 : 4
Hence, Option C is correct.
So the answer = 40 – 16 : 48 – 16 = 24 : 32 = 3 : 4
Hence, Option C is correct.
Most Upvoted Answer
If the average age of A and B is 44 years and the ratio of the age of ...
Understanding the Problem
To solve the problem, we need to find the ages of A and B based on the information given.
Given Information
- Average age of A and B = 44 years
- Ratio of the age of A to B = 5 : 6
Calculating Individual Ages
- Let the age of A = 5x and age of B = 6x.
- The average age is given by:
\[
\text{Average} = \frac{\text{Age of A} + \text{Age of B}}{2} = 44
\]
- Substituting the ages in the equation:
\[
\frac{5x + 6x}{2} = 44
\]
- Simplifying the equation:
\[
\frac{11x}{2} = 44 \implies 11x = 88 \implies x = 8
\]
- Therefore:
- Age of A = \(5 \times 8 = 40\) years
- Age of B = \(6 \times 8 = 48\) years
Calculating Ages 16 Years Back
- Now, we need to find the ages of A and B 16 years back:
- Age of A 16 years back = \(40 - 16 = 24\) years
- Age of B 16 years back = \(48 - 16 = 32\) years
Finding the Ratio 16 Years Back
- The ratio of the ages of A to B 16 years back is:
\[
\text{Ratio} = \frac{24}{32} = \frac{3}{4}
\]
- Hence, the ratio of the age of A to B 16 years back is **3:4**.
Conclusion
The correct answer is option 'C' (3:4).
To solve the problem, we need to find the ages of A and B based on the information given.
Given Information
- Average age of A and B = 44 years
- Ratio of the age of A to B = 5 : 6
Calculating Individual Ages
- Let the age of A = 5x and age of B = 6x.
- The average age is given by:
\[
\text{Average} = \frac{\text{Age of A} + \text{Age of B}}{2} = 44
\]
- Substituting the ages in the equation:
\[
\frac{5x + 6x}{2} = 44
\]
- Simplifying the equation:
\[
\frac{11x}{2} = 44 \implies 11x = 88 \implies x = 8
\]
- Therefore:
- Age of A = \(5 \times 8 = 40\) years
- Age of B = \(6 \times 8 = 48\) years
Calculating Ages 16 Years Back
- Now, we need to find the ages of A and B 16 years back:
- Age of A 16 years back = \(40 - 16 = 24\) years
- Age of B 16 years back = \(48 - 16 = 32\) years
Finding the Ratio 16 Years Back
- The ratio of the ages of A to B 16 years back is:
\[
\text{Ratio} = \frac{24}{32} = \frac{3}{4}
\]
- Hence, the ratio of the age of A to B 16 years back is **3:4**.
Conclusion
The correct answer is option 'C' (3:4).
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Question Description
If the average age of A and B is 44 years and the ratio of the age of A to that of B is 5 : 6, what was the ratio of the age of A to that of B 16 years back?a)1 : 2b)2 : 3c)3 : 4d)4 : 5Correct answer is option 'C'. Can you explain this answer? for SSC CGL 2025 is part of SSC CGL preparation. The Question and answers have been prepared according to the SSC CGL exam syllabus. Information about If the average age of A and B is 44 years and the ratio of the age of A to that of B is 5 : 6, what was the ratio of the age of A to that of B 16 years back?a)1 : 2b)2 : 3c)3 : 4d)4 : 5Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for SSC CGL 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the average age of A and B is 44 years and the ratio of the age of A to that of B is 5 : 6, what was the ratio of the age of A to that of B 16 years back?a)1 : 2b)2 : 3c)3 : 4d)4 : 5Correct answer is option 'C'. Can you explain this answer?.
If the average age of A and B is 44 years and the ratio of the age of A to that of B is 5 : 6, what was the ratio of the age of A to that of B 16 years back?a)1 : 2b)2 : 3c)3 : 4d)4 : 5Correct answer is option 'C'. Can you explain this answer? for SSC CGL 2025 is part of SSC CGL preparation. The Question and answers have been prepared according to the SSC CGL exam syllabus. Information about If the average age of A and B is 44 years and the ratio of the age of A to that of B is 5 : 6, what was the ratio of the age of A to that of B 16 years back?a)1 : 2b)2 : 3c)3 : 4d)4 : 5Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for SSC CGL 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the average age of A and B is 44 years and the ratio of the age of A to that of B is 5 : 6, what was the ratio of the age of A to that of B 16 years back?a)1 : 2b)2 : 3c)3 : 4d)4 : 5Correct answer is option 'C'. Can you explain this answer?.
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If the average age of A and B is 44 years and the ratio of the age of A to that of B is 5 : 6, what was the ratio of the age of A to that of B 16 years back?a)1 : 2b)2 : 3c)3 : 4d)4 : 5Correct answer is option 'C'. Can you explain this answer?, a detailed solution for If the average age of A and B is 44 years and the ratio of the age of A to that of B is 5 : 6, what was the ratio of the age of A to that of B 16 years back?a)1 : 2b)2 : 3c)3 : 4d)4 : 5Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of If the average age of A and B is 44 years and the ratio of the age of A to that of B is 5 : 6, what was the ratio of the age of A to that of B 16 years back?a)1 : 2b)2 : 3c)3 : 4d)4 : 5Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
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