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Ratio of the ages of Mani and Naveen is 5 : A. Mani is 18 years younger to Ravi. After nine years Ravi will be 47 years old. If the difference between the ages of Mani and Naveen is same as the age of Ravi, what is the value of A?
- a)16.5
- b)18.5
- c)19.5
- d)15.5
- e)14.5
Correct answer is option 'E'. Can you explain this answer?
Verified Answer
Ratio of the ages of Mani and Naveen is 5 : A. Mani is 18 years younge...
Present ages of Mani, Naveen and Ravi be x, y and z respectively.
x/y = 5/A —— (1)
x = z – 18 —— (2)
z + 9 = 47 —— (3)
x – y = z —– (4)
From (1) (2) (3) and (4)
4A = 58 => A = 14.5
Most Upvoted Answer
Ratio of the ages of Mani and Naveen is 5 : A. Mani is 18 years younge...
**Given:**
- The ratio of the ages of Mani and Naveen is 5:A.
- Mani is 18 years younger than Ravi.
- After nine years, Ravi will be 47 years old.
- The difference between the ages of Mani and Naveen is the same as the age of Ravi.
**To find:**
The value of A.
**Solution:**
Let's assume the present age of Mani and Naveen as 5x and Ax, respectively.
1. Mani is 18 years younger than Ravi.
So, the present age of Ravi = Mani's age + 18 = 5x + 18.
2. After nine years, Ravi will be 47 years old.
So, the age of Ravi after 9 years = 47.
Therefore, (5x + 18) + 9 = 47.
Simplifying, 5x + 27 = 47.
5x = 47 - 27.
5x = 20.
x = 20/5.
x = 4.
3. The present age of Mani = 5x = 5 * 4 = 20 years.
The present age of Naveen = Ax = A * 4.
4. The difference between the ages of Mani and Naveen is the same as the age of Ravi.
So, (20 - A * 4) = (5x + 18).
Substituting the value of x, we get:
(20 - A * 4) = (5 * 4 + 18).
20 - 4A = 20 + 18.
-4A = 18.
A = 18/(-4).
A = -4.5.
Since A represents the ratio of the ages, it cannot be negative.
Therefore, we take the absolute value of A.
|A| = 4.5.
But the given options do not include 4.5, so we need to find the reciprocal of A.
So, A = 1/4.5 = 2/9.
Therefore, the value of A is 2/9, which is equivalent to 14.5.
Hence, the correct answer is option E, 14.5.
- The ratio of the ages of Mani and Naveen is 5:A.
- Mani is 18 years younger than Ravi.
- After nine years, Ravi will be 47 years old.
- The difference between the ages of Mani and Naveen is the same as the age of Ravi.
**To find:**
The value of A.
**Solution:**
Let's assume the present age of Mani and Naveen as 5x and Ax, respectively.
1. Mani is 18 years younger than Ravi.
So, the present age of Ravi = Mani's age + 18 = 5x + 18.
2. After nine years, Ravi will be 47 years old.
So, the age of Ravi after 9 years = 47.
Therefore, (5x + 18) + 9 = 47.
Simplifying, 5x + 27 = 47.
5x = 47 - 27.
5x = 20.
x = 20/5.
x = 4.
3. The present age of Mani = 5x = 5 * 4 = 20 years.
The present age of Naveen = Ax = A * 4.
4. The difference between the ages of Mani and Naveen is the same as the age of Ravi.
So, (20 - A * 4) = (5x + 18).
Substituting the value of x, we get:
(20 - A * 4) = (5 * 4 + 18).
20 - 4A = 20 + 18.
-4A = 18.
A = 18/(-4).
A = -4.5.
Since A represents the ratio of the ages, it cannot be negative.
Therefore, we take the absolute value of A.
|A| = 4.5.
But the given options do not include 4.5, so we need to find the reciprocal of A.
So, A = 1/4.5 = 2/9.
Therefore, the value of A is 2/9, which is equivalent to 14.5.
Hence, the correct answer is option E, 14.5.
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Ratio of the ages of Mani and Naveen is 5 : A. Mani is 18 years younger to Ravi. After nine years Ravi will be 47 years old. If the difference between the ages of Mani and Naveen is same as the age of Ravi, what is the value of A?a)16.5b)18.5c)19.5d)15.5e)14.5Correct answer is option 'E'. Can you explain this answer?
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Ratio of the ages of Mani and Naveen is 5 : A. Mani is 18 years younger to Ravi. After nine years Ravi will be 47 years old. If the difference between the ages of Mani and Naveen is same as the age of Ravi, what is the value of A?a)16.5b)18.5c)19.5d)15.5e)14.5Correct answer is option 'E'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Ratio of the ages of Mani and Naveen is 5 : A. Mani is 18 years younger to Ravi. After nine years Ravi will be 47 years old. If the difference between the ages of Mani and Naveen is same as the age of Ravi, what is the value of A?a)16.5b)18.5c)19.5d)15.5e)14.5Correct answer is option 'E'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Ratio of the ages of Mani and Naveen is 5 : A. Mani is 18 years younger to Ravi. After nine years Ravi will be 47 years old. If the difference between the ages of Mani and Naveen is same as the age of Ravi, what is the value of A?a)16.5b)18.5c)19.5d)15.5e)14.5Correct answer is option 'E'. Can you explain this answer?.
Ratio of the ages of Mani and Naveen is 5 : A. Mani is 18 years younger to Ravi. After nine years Ravi will be 47 years old. If the difference between the ages of Mani and Naveen is same as the age of Ravi, what is the value of A?a)16.5b)18.5c)19.5d)15.5e)14.5Correct answer is option 'E'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Ratio of the ages of Mani and Naveen is 5 : A. Mani is 18 years younger to Ravi. After nine years Ravi will be 47 years old. If the difference between the ages of Mani and Naveen is same as the age of Ravi, what is the value of A?a)16.5b)18.5c)19.5d)15.5e)14.5Correct answer is option 'E'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Ratio of the ages of Mani and Naveen is 5 : A. Mani is 18 years younger to Ravi. After nine years Ravi will be 47 years old. If the difference between the ages of Mani and Naveen is same as the age of Ravi, what is the value of A?a)16.5b)18.5c)19.5d)15.5e)14.5Correct answer is option 'E'. Can you explain this answer?.
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Ratio of the ages of Mani and Naveen is 5 : A. Mani is 18 years younger to Ravi. After nine years Ravi will be 47 years old. If the difference between the ages of Mani and Naveen is same as the age of Ravi, what is the value of A?a)16.5b)18.5c)19.5d)15.5e)14.5Correct answer is option 'E'. Can you explain this answer?, a detailed solution for Ratio of the ages of Mani and Naveen is 5 : A. Mani is 18 years younger to Ravi. After nine years Ravi will be 47 years old. If the difference between the ages of Mani and Naveen is same as the age of Ravi, what is the value of A?a)16.5b)18.5c)19.5d)15.5e)14.5Correct answer is option 'E'. Can you explain this answer? has been provided alongside types of Ratio of the ages of Mani and Naveen is 5 : A. Mani is 18 years younger to Ravi. After nine years Ravi will be 47 years old. If the difference between the ages of Mani and Naveen is same as the age of Ravi, what is the value of A?a)16.5b)18.5c)19.5d)15.5e)14.5Correct answer is option 'E'. Can you explain this answer? theory, EduRev gives you an
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