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At present the average of the ages of a father and a son is 25 years. After seven years, the son will be 17 years old. What will be the age of father after 10 years?
- a)44 years
- b)45 years
- c)50 years
- d)52 years
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
At present the average of the ages of a father and a son is 25 years. ...
Average age of father and son after 10 years = 25 + 10 = 35
Son’s age after 10 years = Son’s age after 7 years + 3
⇒ 17 + 3 = 20 years
Let the father’s age after 10 years be ‘x’
(x + 20) /2 = 35
x + 20 = 70
∴ x = 50 years
Son’s age after 10 years = Son’s age after 7 years + 3
⇒ 17 + 3 = 20 years
Let the father’s age after 10 years be ‘x’
(x + 20) /2 = 35
x + 20 = 70
∴ x = 50 years
Most Upvoted Answer
At present the average of the ages of a father and a son is 25 years. ...
Age Calculation:
Let the present age of the son be x years.
So, the present age of the father will be (25 + x) years.
Given that after seven years, the son will be 17 years old.
So, after seven years, the son's age will be (x + 7) years.
Calculation:
According to the given information, we can write the following equation:
x + 7 = 17
Solving this equation, we find:
x = 17 - 7
x = 10
Therefore, the present age of the son is 10 years.
Age of Father:
The present age of the father = 25 + 10 = 35 years.
After 10 years:
The age of the father after 10 years will be:
35 + 10 = 45 years.
Therefore, the correct answer is option (b) 45 years.
Let the present age of the son be x years.
So, the present age of the father will be (25 + x) years.
Given that after seven years, the son will be 17 years old.
So, after seven years, the son's age will be (x + 7) years.
Calculation:
According to the given information, we can write the following equation:
x + 7 = 17
Solving this equation, we find:
x = 17 - 7
x = 10
Therefore, the present age of the son is 10 years.
Age of Father:
The present age of the father = 25 + 10 = 35 years.
After 10 years:
The age of the father after 10 years will be:
35 + 10 = 45 years.
Therefore, the correct answer is option (b) 45 years.
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At present the average of the ages of a father and a son is 25 years. After seven years, the son will be 17 years old. What will be the age of father after 10 years?a)44 yearsb)45 yearsc)50 yearsd)52 yearsCorrect answer is option 'C'. Can you explain this answer?
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