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The sum of the present ages of a father and his son is 60 years. Six years ago, father's age was five times the age of the son. After 6 years, son's age will be:
- a)12 years
- b)14 years
- c)18 years
- d)20 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 father and his son is 60 years. Six y...
Let the present ages of son and father be x and (60 -x) years respectively.
Then, (60 - x) - 6 = 5(x - 6)
54 - x = 5x - 30
6x = 84
x = 14.
Son's age after 6 years = (x+ 6) = 20 years..Most Upvoted Answer
The sum of the present ages of a father and his son is 60 years. Six y...
The Problem:
The sum of the present ages of a father and his son is 60 years. Six years ago, the father's age was five times the age of the son. After 6 years, what will be the son's age?
Given Information:
- The present sum of the father and son's ages is 60 years.
- Six years ago, the father's age was five times the age of the son.
Let's solve the problem step by step:
Step 1: Define Variables
Let's assume the present age of the son is 'x' years.
Therefore, the present age of the father will be (60 - x) years.
Step 2: Translate the Given Information into Equations
According to the problem, six years ago, the father's age was five times the age of the son.
So, six years ago, the father's age would be (60 - x - 6) years, and the son's age would be (x - 6) years.
Step 3: Set up Equations
According to the given information, the father's age six years ago was five times the son's age six years ago.
Therefore, we can set up the equation: (60 - x - 6) = 5(x - 6).
Step 4: Solve the Equation
Let's solve the equation we set up in the previous step:
(60 - x - 6) = 5(x - 6)
54 - x = 5x - 30
4x = 84
x = 21
Step 5: Find the Son's Age After 6 Years
To find the son's age after 6 years, we need to add 6 to the current age of the son.
Son's age after 6 years = 21 + 6 = 27 years.
Conclusion:
After 6 years, the son's age will be 27 years. Therefore, the correct answer is option 'D' (20 years).
The sum of the present ages of a father and his son is 60 years. Six years ago, the father's age was five times the age of the son. After 6 years, what will be the son's age?
Given Information:
- The present sum of the father and son's ages is 60 years.
- Six years ago, the father's age was five times the age of the son.
Let's solve the problem step by step:
Step 1: Define Variables
Let's assume the present age of the son is 'x' years.
Therefore, the present age of the father will be (60 - x) years.
Step 2: Translate the Given Information into Equations
According to the problem, six years ago, the father's age was five times the age of the son.
So, six years ago, the father's age would be (60 - x - 6) years, and the son's age would be (x - 6) years.
Step 3: Set up Equations
According to the given information, the father's age six years ago was five times the son's age six years ago.
Therefore, we can set up the equation: (60 - x - 6) = 5(x - 6).
Step 4: Solve the Equation
Let's solve the equation we set up in the previous step:
(60 - x - 6) = 5(x - 6)
54 - x = 5x - 30
4x = 84
x = 21
Step 5: Find the Son's Age After 6 Years
To find the son's age after 6 years, we need to add 6 to the current age of the son.
Son's age after 6 years = 21 + 6 = 27 years.
Conclusion:
After 6 years, the son's age will be 27 years. Therefore, the correct answer is option 'D' (20 years).
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The sum of the present ages of a father and his son is 60 years. Six years ago, father's age was five times the age of the son. After 6 years, son's age will be:a)12 yearsb)14yearsc)18yearsd)20 yearsCorrect answer is option 'D'. Can you explain this answer?
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