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Fathers age is 5 times his sons age. 4 years back the father was 9 times older than son. Find the fathers present age.
- a)10 years
- b)35 years
- c)40 years
- d)20 years
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
Fathers age is 5 times his sons age. 4 years back the father was 9 tim...
Lets assume son's age = x years.
so father's age = 5x years
4 years back:
son age = (x-4) years.
father's age = (5x-4) years
as per Condition given
(5x-4) = 9*(x-4)
=> 5x - 4 = 9x - 36
=> (9x-5x) = 36 - 4
=> 4x = 32 => x = 8
So father's present age = 5 * 8 = 40 years.
Most Upvoted Answer
Fathers age is 5 times his sons age. 4 years back the father was 9 tim...
Problem Solving:
Let the present age of the son be x. Then, the present age of the father will be 5x.
Four years back, the father's age was 5x - 4, and the son's age was x - 4.
According to the problem, the father's age was 9 times older than the son's age:
5x - 4 = 9(x - 4)
5x - 4 = 9x - 36
4x = 32
x = 8
Therefore, the present age of the son is 8 years, and the present age of the father is 5x = 40 years.
Solution:
Present age of the son = x
Present age of the father = 5x
Four years back, the father's age = 5x - 4
Four years back, the son's age = x - 4
According to the problem, 4 years back the father was 9 times older than the son:
5x - 4 = 9(x - 4)
5x - 4 = 9x - 36
4x = 32
x = 8
Therefore, the present age of the son is 8 years.
The present age of the father = 5x = 5 × 8 = 40 years.
Hence, the correct option is (c) 40 years.
Let the present age of the son be x. Then, the present age of the father will be 5x.
Four years back, the father's age was 5x - 4, and the son's age was x - 4.
According to the problem, the father's age was 9 times older than the son's age:
5x - 4 = 9(x - 4)
5x - 4 = 9x - 36
4x = 32
x = 8
Therefore, the present age of the son is 8 years, and the present age of the father is 5x = 40 years.
Solution:
Present age of the son = x
Present age of the father = 5x
Four years back, the father's age = 5x - 4
Four years back, the son's age = x - 4
According to the problem, 4 years back the father was 9 times older than the son:
5x - 4 = 9(x - 4)
5x - 4 = 9x - 36
4x = 32
x = 8
Therefore, the present age of the son is 8 years.
The present age of the father = 5x = 5 × 8 = 40 years.
Hence, the correct option is (c) 40 years.
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Fathers age is 5 times his sons age. 4 years back the father was 9 times older than son. Find the fathers present age.a)10 yearsb)35 yearsc)40 yearsd)20 yearsCorrect answer is option 'C'. Can you explain this answer?
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