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The age of father is 5 times that of his son. 3 years ago, the age of father was 8 times that of his son. Find the present age of father.
- a)35
- b)45
- c)55
- d)46
- e)None
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The age of father is 5 times that of his son. 3 years ago, the age of ...
Given:
Present age
Age of father = 5 × Age of Son
3 years ago,
Age of father = 8 × Age of son
Calculation:
Let the age of father and son be F and S.
According to the question,
F = 5S ----(1)
Again according to the question,
⇒ (F - 3) = 8(S - 3) ----(2)
After equating the equation (1) and equation (2)
⇒ 5S - 3 = 8S - 24
⇒ -3S = -21
⇒ S = 7 years
From equation (1)
⇒ F = 5 × 7
⇒ F = 35 years
∴ The present age of the father is 35 years.
So, the correct option is A .
Most Upvoted Answer
The age of father is 5 times that of his son. 3 years ago, the age of ...
Let present age of son is x. Then father's present age will be 5x. After 3 years son age will be x+3 andfather age will be 5x+3According to the question 5x+3 = 4(x+3)5x-4x= 12-3or, x= 9therefore father's age is 5x , 5x9= 45 yearsand son age is x= 9 years.
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Community Answer
The age of father is 5 times that of his son. 3 years ago, the age of ...
Given:
Age of father = 5 x Age of son
Age of father 3 years ago = 8 x (Age of son 3 years ago)
To find:
Present age of father
Solution:
Let's assume the present age of the son as x.
As per the given condition, the present age of the father is 5x.
Three years ago, the age of the son was (x-3) and the age of the father was (5x-3).
According to the second condition, the age of the father 3 years ago was 8 times the age of the son 3 years ago. Mathematically,
5x - 3 = 8(x - 3)
5x - 3 = 8x - 24
3x = 21
x = 7
Therefore, the present age of the son is 7 years.
And, the present age of the father = 5x = 5 x 7 = 35 years.
Hence, the correct answer is option A, i.e., 35.
Age of father = 5 x Age of son
Age of father 3 years ago = 8 x (Age of son 3 years ago)
To find:
Present age of father
Solution:
Let's assume the present age of the son as x.
As per the given condition, the present age of the father is 5x.
Three years ago, the age of the son was (x-3) and the age of the father was (5x-3).
According to the second condition, the age of the father 3 years ago was 8 times the age of the son 3 years ago. Mathematically,
5x - 3 = 8(x - 3)
5x - 3 = 8x - 24
3x = 21
x = 7
Therefore, the present age of the son is 7 years.
And, the present age of the father = 5x = 5 x 7 = 35 years.
Hence, the correct answer is option A, i.e., 35.
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The age of father is 5 times that of his son. 3 years ago, the age of father was 8 times that of his son. Find the present age of father.a)35b)45c)55d)46e)NoneCorrect answer is option 'A'. Can you explain this answer?
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