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The sum of the ages of a father and son is 38 years. Four years ago, the product of their ages was 3 times the father’s age at that time. The present ages of the father and son, respectively are
  • a)
    28 years, 10 years
  • b)
    32 years, 6 years
  • c)
    31 years, 7 years
  • d)
    34 years, 4 years
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The sum of the ages of a father and son is 38 years. Four years ago, t...
Let’s assume that present age of father is X and age of son is Y
∴ Sum of their present ages = X + Y = 38
Four years ago, the age of father was = X – 4
Four years ago, the age of son was = Y – 4  
∵ Four years ago, the product of their ages was 3 times the father’s age at that time.
∴ (X – 4) × (Y – 4) = 3 (X – 4)
⇒ Y – 4 = 3
⇒ Y = 7
∴ Present age of son is = 7 years
& present age of father is = 38 – 7 = 31 years
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Most Upvoted Answer
The sum of the ages of a father and son is 38 years. Four years ago, t...
Let's assume the current age of the son is x years.
Therefore, the current age of the father is 38 - x years.
Four years ago, the son's age was x - 4 years, and the father's age was 38 - x - 4 = 34 - x years.
According to the problem, the product of their ages four years ago was 3 times the father's age, so we can write the equation:
(x - 4)(34 - x) = 3(34 - x)
Expanding the equation, we get:
34x - x^2 - 4x + 4 = 102 - 3x
Re-arranging the equation, we get:
- x^2 + 37x - 98 = 0
Solving this quadratic equation, we find:
x = 2 or x = 49
Since the son's age cannot be 49, we conclude that the son's current age is x = 2 years.
Therefore, the father's current age is 38 - x = 38 - 2 = 36 years.
Thus, the father is 36 years old, and the son is 2 years old.
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The sum of the ages of a father and son is 38 years. Four years ago, the product of their ages was 3 times the father’s age at that time. The present ages of the father and son, respectively area)28 years, 10 yearsb)32 years, 6 yearsc)31 years, 7 yearsd)34 years, 4 yearsCorrect answer is option 'C'. Can you explain this answer?
Question Description
The sum of the ages of a father and son is 38 years. Four years ago, the product of their ages was 3 times the father’s age at that time. The present ages of the father and son, respectively area)28 years, 10 yearsb)32 years, 6 yearsc)31 years, 7 yearsd)34 years, 4 yearsCorrect answer is option 'C'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about The sum of the ages of a father and son is 38 years. Four years ago, the product of their ages was 3 times the father’s age at that time. The present ages of the father and son, respectively area)28 years, 10 yearsb)32 years, 6 yearsc)31 years, 7 yearsd)34 years, 4 yearsCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The sum of the ages of a father and son is 38 years. Four years ago, the product of their ages was 3 times the father’s age at that time. The present ages of the father and son, respectively area)28 years, 10 yearsb)32 years, 6 yearsc)31 years, 7 yearsd)34 years, 4 yearsCorrect answer is option 'C'. Can you explain this answer?.
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