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8 years ago, the ratio of the age of P to that of Q was 6 : 7 which is equal to the ratio of the present age of A to that of B. 6 years later, A will be 1.2 times as old P and B will be 13 years older than Q. What is the present age (in years) of Q?
  • a)
    50
  • b)
    54
  • c)
    40
  • d)
    48
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
8 years ago, the ratio of the age of P to that of Q was 6 : 7 which is...
Let the present age of A = 6x and B = 7x
8 years ago:
(Ratio of the age of P : Q = 6 : 7
Let the age of P = 6y and Q = 7y)
Present age of P = 6y + 8 and that of Q = 7y + 8
6 years later:
(6x + 6) : (6y + 8 + 6) = 6 : 5
and 7x – (7y + 8) = 13
Solving the above equations, we get:
x = 9 and y = 6
Present age of Q = 7y + 8 = 50 years
Hence, option A is correct.
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Community Answer
8 years ago, the ratio of the age of P to that of Q was 6 : 7 which is...
Given Data:
- 8 years ago, the ratio of the age of P to that of Q was 6 : 7
- The ratio of the present age of A to that of B is 6 : 7

Let's solve the problem step by step:

Step 1: Present Ages
Let the present age of P be 6x and the present age of Q be 7x.
According to the given data, the present age of A is 6y and the present age of B is 7y.

Step 2: Age After 6 Years
A will be 1.2 times as old as P after 6 years.
So, 6y + 6 = 1.2(6x + 6)
=> 6y + 6 = 7.2x + 7.2
=> 6y = 7.2x + 1.2
B will be 13 years older than Q after 6 years.
So, 7y + 6 = 7x + 13
=> 7y = 7x + 7

Step 3: Solving Equations
Using the above two equations, we can find the values of x and y.
From the second equation, we get:
7y = 7x + 7
=> y = x + 1
Substitute y = x + 1 in the first equation:
6(x + 1) = 7.2x + 1.2
=> 6x + 6 = 7.2x + 1.2
=> 0.6x = 4.8
=> x = 8

Step 4: Present Age of Q
Present age of Q = 7x = 7 * 8 = 56 years
Therefore, the present age of Q is 56 years.
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8 years ago, the ratio of the age of P to that of Q was 6 : 7 which is equal to the ratio of the present age of A to that of B. 6 years later, A will be 1.2 times as old P and B will be 13 years older than Q. What is the present age (in years) of Q?a)50b)54c)40d)48Correct answer is option 'A'. Can you explain this answer?
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8 years ago, the ratio of the age of P to that of Q was 6 : 7 which is equal to the ratio of the present age of A to that of B. 6 years later, A will be 1.2 times as old P and B will be 13 years older than Q. What is the present age (in years) of Q?a)50b)54c)40d)48Correct answer is option 'A'. Can you explain this answer? for SSC CGL 2024 is part of SSC CGL preparation. The Question and answers have been prepared according to the SSC CGL exam syllabus. Information about 8 years ago, the ratio of the age of P to that of Q was 6 : 7 which is equal to the ratio of the present age of A to that of B. 6 years later, A will be 1.2 times as old P and B will be 13 years older than Q. What is the present age (in years) of Q?a)50b)54c)40d)48Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for SSC CGL 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 8 years ago, the ratio of the age of P to that of Q was 6 : 7 which is equal to the ratio of the present age of A to that of B. 6 years later, A will be 1.2 times as old P and B will be 13 years older than Q. What is the present age (in years) of Q?a)50b)54c)40d)48Correct answer is option 'A'. Can you explain this answer?.
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