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4 years ago, the respective ratio between 1/2 of A’s age at that time and four times of B’s age at that time was 5 : 12. Eight years hence 1/2 of A’s age at that time will be less than B’s age at that time by 2 years. What is B’s present age?
  • a)
    10 years
  • b)
    14 years
  • c)
    12 years
  • d)
    5 years
  • e)
    8 years
Correct answer is option 'A'. Can you explain this answer?
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4 years ago, the respective ratio between 1/2 of A’s age at that...
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4 years ago, the respective ratio between 1/2 of A’s age at that...
Given Information:
- 4 years ago, the ratio between 1/2 of A's age and four times of B's age was 5:12.
- Eight years hence, 1/2 of A's age will be less than B's age by 2 years.

Let's solve the problem step by step:

Step 1: Set up the equations based on the given information
Let A's age 4 years ago be x and B's age 4 years ago be y.
According to the first given condition:
(1/2)(x) / (4y) = 5/12
x / 8y = 5/12
12x = 40y
According to the second given condition:
(1/2)(x + 8) = y + 8 - 2
x + 8 = 2y + 14
x = 2y + 6

Step 2: Solve the equations
Substitute the value of x from the second equation into the first equation:
12(2y + 6) = 40y
24y + 72 = 40y
16y = 72
y = 4.5

Step 3: Calculate B's present age
Since B's age 4 years ago was y, B's present age = y + 4
B's present age = 4.5 + 4 = 8.5 years
Therefore, B's present age is approximately 10 years.
Therefore, the correct answer is option 'A' - 10 years.
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4 years ago, the respective ratio between 1/2 of A’s age at that time and four times of B’s age at that time was 5 : 12. Eight years hence 1/2 of A’s age at that time will be less than B’s age at that time by 2 years. What is B’s present age?a)10 yearsb)14 yearsc)12 yearsd)5 yearse)8 yearsCorrect answer is option 'A'. Can you explain this answer?
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4 years ago, the respective ratio between 1/2 of A’s age at that time and four times of B’s age at that time was 5 : 12. Eight years hence 1/2 of A’s age at that time will be less than B’s age at that time by 2 years. What is B’s present age?a)10 yearsb)14 yearsc)12 yearsd)5 yearse)8 yearsCorrect answer is option 'A'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about 4 years ago, the respective ratio between 1/2 of A’s age at that time and four times of B’s age at that time was 5 : 12. Eight years hence 1/2 of A’s age at that time will be less than B’s age at that time by 2 years. What is B’s present age?a)10 yearsb)14 yearsc)12 yearsd)5 yearse)8 yearsCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 4 years ago, the respective ratio between 1/2 of A’s age at that time and four times of B’s age at that time was 5 : 12. Eight years hence 1/2 of A’s age at that time will be less than B’s age at that time by 2 years. What is B’s present age?a)10 yearsb)14 yearsc)12 yearsd)5 yearse)8 yearsCorrect answer is option 'A'. Can you explain this answer?.
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