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The ages of Ashwini, Kavitha and Chitra together are 57 years. Kavitha is thrice as old as Ashwini and Chitra is 12 years older than Ashwini. Then, what is the ratio of respective age of Ashwini, Kavitha and Chitra is?
- a)3 : 9 : 7
- b)3 : 9 : 2
- c)3 : 9 : 4
- d)3 : 9 : 5
- e)3 : 9 : 8
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The ages of Ashwini, Kavitha and Chitra together are 57 years. Kavitha...
Ashwini’s age = X
Chitra’s age = x+12
Kavitha’s age = 3x
x + (x+12) + 3x = 57
=> 5x = 45
x = 9
Anushka’s age = 9
Kavitha’s age = 3x = 27
Chitra’s age = x+12 = 21; Ratio = 3:9:7
Chitra’s age = x+12
Kavitha’s age = 3x
x + (x+12) + 3x = 57
=> 5x = 45
x = 9
Anushka’s age = 9
Kavitha’s age = 3x = 27
Chitra’s age = x+12 = 21; Ratio = 3:9:7
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The ages of Ashwini, Kavitha and Chitra together are 57 years. Kavitha...
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The ages of Ashwini, Kavitha and Chitra together are 57 years. Kavitha...
Given information:
- The ages of Ashwini, Kavitha, and Chitra together are 57 years.
- Kavitha is thrice as old as Ashwini.
- Chitra is 12 years older than Ashwini.
To find: The ratio of the respective ages of Ashwini, Kavitha, and Chitra.
Let's solve this step by step:
Step 1: Assign variables
Let Ashwini's age be A.
Since Kavitha is thrice as old as Ashwini, Kavitha's age will be 3A.
Since Chitra is 12 years older than Ashwini, Chitra's age will be A + 12.
Step 2: Form an equation
According to the given information, the sum of their ages is 57.
So, A + 3A + (A + 12) = 57.
Step 3: Simplify the equation
Combining like terms, we get:
5A + 12 = 57.
Subtract 12 from both sides:
5A = 45.
Divide both sides by 5:
A = 9.
Step 4: Find the ages of Kavitha and Chitra
Using the value of A, we can find the ages of Kavitha and Chitra.
Kavitha's age = 3A = 3 * 9 = 27.
Chitra's age = A + 12 = 9 + 12 = 21.
Step 5: Find the ratio of their ages
The ratio of their ages is:
Ashwini : Kavitha : Chitra
= 9 : 27 : 21
Step 6: Simplify the ratio
Dividing all the terms of the ratio by the highest common factor, which is 3, we get:
3 : 9 : 7
Therefore, the correct answer is option A) 3 : 9 : 7, which represents the ratio of the respective ages of Ashwini, Kavitha, and Chitra.
- The ages of Ashwini, Kavitha, and Chitra together are 57 years.
- Kavitha is thrice as old as Ashwini.
- Chitra is 12 years older than Ashwini.
To find: The ratio of the respective ages of Ashwini, Kavitha, and Chitra.
Let's solve this step by step:
Step 1: Assign variables
Let Ashwini's age be A.
Since Kavitha is thrice as old as Ashwini, Kavitha's age will be 3A.
Since Chitra is 12 years older than Ashwini, Chitra's age will be A + 12.
Step 2: Form an equation
According to the given information, the sum of their ages is 57.
So, A + 3A + (A + 12) = 57.
Step 3: Simplify the equation
Combining like terms, we get:
5A + 12 = 57.
Subtract 12 from both sides:
5A = 45.
Divide both sides by 5:
A = 9.
Step 4: Find the ages of Kavitha and Chitra
Using the value of A, we can find the ages of Kavitha and Chitra.
Kavitha's age = 3A = 3 * 9 = 27.
Chitra's age = A + 12 = 9 + 12 = 21.
Step 5: Find the ratio of their ages
The ratio of their ages is:
Ashwini : Kavitha : Chitra
= 9 : 27 : 21
Step 6: Simplify the ratio
Dividing all the terms of the ratio by the highest common factor, which is 3, we get:
3 : 9 : 7
Therefore, the correct answer is option A) 3 : 9 : 7, which represents the ratio of the respective ages of Ashwini, Kavitha, and Chitra.
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The ages of Ashwini, Kavitha and Chitra together are 57 years. Kavitha is thrice as old as Ashwini and Chitra is 12 years older than Ashwini. Then, what is the ratio of respective age of Ashwini, Kavitha and Chitra is?a)3 : 9 : 7b)3 : 9 : 2c)3 : 9 : 4d)3 : 9 : 5e)3 : 9 : 8Correct answer is option 'A'. Can you explain this answer?
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The ages of Ashwini, Kavitha and Chitra together are 57 years. Kavitha is thrice as old as Ashwini and Chitra is 12 years older than Ashwini. Then, what is the ratio of respective age of Ashwini, Kavitha and Chitra is?a)3 : 9 : 7b)3 : 9 : 2c)3 : 9 : 4d)3 : 9 : 5e)3 : 9 : 8Correct answer is option 'A'. 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 The ages of Ashwini, Kavitha and Chitra together are 57 years. Kavitha is thrice as old as Ashwini and Chitra is 12 years older than Ashwini. Then, what is the ratio of respective age of Ashwini, Kavitha and Chitra is?a)3 : 9 : 7b)3 : 9 : 2c)3 : 9 : 4d)3 : 9 : 5e)3 : 9 : 8Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The ages of Ashwini, Kavitha and Chitra together are 57 years. Kavitha is thrice as old as Ashwini and Chitra is 12 years older than Ashwini. Then, what is the ratio of respective age of Ashwini, Kavitha and Chitra is?a)3 : 9 : 7b)3 : 9 : 2c)3 : 9 : 4d)3 : 9 : 5e)3 : 9 : 8Correct answer is option 'A'. Can you explain this answer?.
The ages of Ashwini, Kavitha and Chitra together are 57 years. Kavitha is thrice as old as Ashwini and Chitra is 12 years older than Ashwini. Then, what is the ratio of respective age of Ashwini, Kavitha and Chitra is?a)3 : 9 : 7b)3 : 9 : 2c)3 : 9 : 4d)3 : 9 : 5e)3 : 9 : 8Correct answer is option 'A'. 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 The ages of Ashwini, Kavitha and Chitra together are 57 years. Kavitha is thrice as old as Ashwini and Chitra is 12 years older than Ashwini. Then, what is the ratio of respective age of Ashwini, Kavitha and Chitra is?a)3 : 9 : 7b)3 : 9 : 2c)3 : 9 : 4d)3 : 9 : 5e)3 : 9 : 8Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The ages of Ashwini, Kavitha and Chitra together are 57 years. Kavitha is thrice as old as Ashwini and Chitra is 12 years older than Ashwini. Then, what is the ratio of respective age of Ashwini, Kavitha and Chitra is?a)3 : 9 : 7b)3 : 9 : 2c)3 : 9 : 4d)3 : 9 : 5e)3 : 9 : 8Correct answer is option 'A'. Can you explain this answer?.
Solutions for The ages of Ashwini, Kavitha and Chitra together are 57 years. Kavitha is thrice as old as Ashwini and Chitra is 12 years older than Ashwini. Then, what is the ratio of respective age of Ashwini, Kavitha and Chitra is?a)3 : 9 : 7b)3 : 9 : 2c)3 : 9 : 4d)3 : 9 : 5e)3 : 9 : 8Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Quant.
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