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Ten years ago the age of a father was four times his son. Ten years hence the age of the father will be twice that of his son. The present age of the father and the son are
  • a)
    (50, 20)                    
  • b)
    (60, 20)        
  • c)
    (55, 25)            
  • d)
    none of these 
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Ten years ago the age of a father was four times his son. Ten years he...
To solve this problem, let's assume the present age of the father is F and the present age of the son is S.

Ten years ago:
Father's age = F - 10
Son's age = S - 10

According to the given information, ten years ago the age of the father was four times his son, so we can write the equation:

F - 10 = 4(S - 10)

Ten years hence:
Father's age = F + 10
Son's age = S + 10

According to the given information, ten years hence the age of the father will be twice that of his son, so we can write the equation:

F + 10 = 2(S + 10)

Now we have a system of two equations with two variables. Let's solve it to find the present age of the father and the son.

1. Simplify the equations:
F - 10 = 4S - 40
F + 10 = 2S + 20

2. Rearrange the equations:
F - 4S = -30 (Equation 1)
F - 2S = 10 (Equation 2)

3. Subtract Equation 2 from Equation 1:
(F - 4S) - (F - 2S) = -30 - 10
-2S = -40
S = 20

4. Substitute the value of S back into Equation 2 to find F:
F - 2(20) = 10
F - 40 = 10
F = 50

Therefore, the present age of the father is 50 and the present age of the son is 20.

Hence, the correct answer is option A) (50, 20).
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Ten years ago the age of a father was four times his son. Ten years hence the age of the father will be twice that of his son. The present age of the father and the son area)(50, 20) b)(60, 20) c)(55, 25) d)none of theseCorrect answer is option 'A'. Can you explain this answer?
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Ten years ago the age of a father was four times his son. Ten years hence the age of the father will be twice that of his son. The present age of the father and the son area)(50, 20) b)(60, 20) c)(55, 25) d)none of theseCorrect answer is option 'A'. Can you explain this answer? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about Ten years ago the age of a father was four times his son. Ten years hence the age of the father will be twice that of his son. The present age of the father and the son area)(50, 20) b)(60, 20) c)(55, 25) d)none of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Ten years ago the age of a father was four times his son. Ten years hence the age of the father will be twice that of his son. The present age of the father and the son area)(50, 20) b)(60, 20) c)(55, 25) d)none of theseCorrect answer is option 'A'. Can you explain this answer?.
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