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The father’s age is six times his son’s age. Four years hence, the age of the father will be four times his son’s age. The present ages, in years, of the son and the father are, respectively
  • a)
    4 and 24
  • b)
    5 and 30
  • c)
    6 and 36
  • d)
    3 and 24
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The father’s age is six times his son’s age. Four years hence, the ag...
Let the age of father be x and of son is y.
Then according to question,
x = 6y …..(i)
Four years hence age of son will be y + 4 and age of father will be x + 4
Then according to question,
x + 4 = 4 (y + 4)
x – 4y = 12 …..(ii)
Solving equations (i) and (ii) we get:
y = 6 and x = 36
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Most Upvoted Answer
The father’s age is six times his son’s age. Four years hence, the ag...
The given problem can be solved by setting up a system of equations based on the information given.

Let the present age of the son be represented by 'x' and the present age of the father be represented by 'y'.

According to the problem, the father’s age is six times his son’s age, so we can write the equation:
y = 6x

Four years hence means we need to add 4 to the present ages of both the father and the son. So, the equation becomes:
y + 4 = 4(x + 4)

Now we have a system of two equations:
1. y = 6x
2. y + 4 = 4(x + 4)

Solving the system of equations:

Let's solve the system of equations to find the values of 'x' and 'y'.

We can substitute the value of 'y' from equation 1 into equation 2:
6x + 4 = 4(x + 4)

Simplifying the equation:
6x + 4 = 4x + 16
2x = 12
x = 6

Now, substitute the value of 'x' back into equation 1 to find 'y':
y = 6(6)
y = 36

Therefore, the present age of the son is 6 years and the present age of the father is 36 years.

Conclusion:

The correct option is 'C', which states that the present ages of the son and the father are 6 and 36 years, respectively.
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The father’s age is six times his son’s age. Four years hence, the age of the father will be four times his son’s age. The present ages, in years, of the son and the father are, respectivelya)4 and 24b)5 and 30c)6 and 36d)3 and 24Correct answer is option 'C'. Can you explain this answer?
Question Description
The father’s age is six times his son’s age. Four years hence, the age of the father will be four times his son’s age. The present ages, in years, of the son and the father are, respectivelya)4 and 24b)5 and 30c)6 and 36d)3 and 24Correct answer is option 'C'. Can you explain this answer? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about The father’s age is six times his son’s age. Four years hence, the age of the father will be four times his son’s age. The present ages, in years, of the son and the father are, respectivelya)4 and 24b)5 and 30c)6 and 36d)3 and 24Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The father’s age is six times his son’s age. Four years hence, the age of the father will be four times his son’s age. The present ages, in years, of the son and the father are, respectivelya)4 and 24b)5 and 30c)6 and 36d)3 and 24Correct answer is option 'C'. Can you explain this answer?.
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