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The sum of the present ages of a son and his father is 60 years. Six years ago, father's age was five times the age of the son. After 6 years, what will be son's age?
- a)23 years
- b)22 years
- c)21 years
- d)20 years
- e)24 years
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
The sum of the present ages of a son and his father is 60 years. Six y...
Let the present age of the son = x Then, present age of the father = ( 60 − x ) Six years ago father's age was 5 times the age of the son
Son's age after 6 years = x + 6 = 14 + 6 = 20
Son's age after 6 years = x + 6 = 14 + 6 = 20
Most Upvoted Answer
The sum of the present ages of a son and his father is 60 years. Six y...
Given Information:
- Sum of present ages of son and father = 60 years
- 6 years ago, father's age was 5 times the son's age
Solution:
Let's assume the present age of the son is S years and the present age of the father is F years.
Equations:
1. S + F = 60 (sum of present ages)
2. F - 6 = 5(S - 6) (father's age 6 years ago was 5 times the son's age)
Solving the Equations:
From equation 1:
S + F = 60
S + (60 - S) = 60
60 = 60
This equation is satisfied.
Substitute the value of F from equation 1 into equation 2:
(60 - S) - 6 = 5(S - 6)
54 - S = 5S - 30
84 = 6S
S = 14
Now, find the father's age:
F = 60 - S
F = 60 - 14
F = 46
Son's Age After 6 Years:
After 6 years, the son's age will be:
S + 6 = 14 + 6 = 20 years
Therefore, after 6 years, the son's age will be 20 years.
- Sum of present ages of son and father = 60 years
- 6 years ago, father's age was 5 times the son's age
Solution:
Let's assume the present age of the son is S years and the present age of the father is F years.
Equations:
1. S + F = 60 (sum of present ages)
2. F - 6 = 5(S - 6) (father's age 6 years ago was 5 times the son's age)
Solving the Equations:
From equation 1:
S + F = 60
S + (60 - S) = 60
60 = 60
This equation is satisfied.
Substitute the value of F from equation 1 into equation 2:
(60 - S) - 6 = 5(S - 6)
54 - S = 5S - 30
84 = 6S
S = 14
Now, find the father's age:
F = 60 - S
F = 60 - 14
F = 46
Son's Age After 6 Years:
After 6 years, the son's age will be:
S + 6 = 14 + 6 = 20 years
Therefore, after 6 years, the son's age will be 20 years.
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The sum of the present ages of a son and his father is 60 years. Six years ago, father's age was five times the age of the son. After 6 years, what will be son's age?a)23 yearsb)22 yearsc)21 yearsd)20 yearse)24 yearsCorrect answer is option 'D'. Can you explain this answer?
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