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Eighteen years ago, a fathe rwas three times as old as his son. Now the father is only twice as old as his son. Then the sum of the present ages of the son and the father is:
- a)54
- b)72
- c)105
- d)108
Correct answer is option 'D'. Can you explain this answer?
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Eighteen years ago, a fathe rwas three times as old as his son. Now th...
Let's assume the present age of the son as x years and the present age of the father as y years.
**Formulating the Given Information:**
According to the first condition, eighteen years ago, the father was three times as old as his son. So, we can write the equation as:
(y - 18) = 3(x - 18)
According to the second condition, the father is now only twice as old as his son. So, we can write the equation as:
y = 2x
**Solving the Equations:**
Let's solve the equations to find the present ages of the son and the father.
From equation (2), we can rewrite it as:
x = y/2
Substituting this value of x in equation (1), we get:
(y - 18) = 3(y/2 - 18)
Simplifying the equation, we get:
2(y - 18) = 3(y - 36)
2y - 36 = 3y - 108
-y = -72
y = 72
Substituting the value of y in equation (2), we get:
x = 72/2
x = 36
So, the present age of the son is 36 years, and the present age of the father is 72 years.
**Calculating the Sum of Present Ages:**
Now, we need to find the sum of the present ages of the son and the father.
Sum = x + y
Sum = 36 + 72
Sum = 108
Therefore, the sum of the present ages of the son and the father is 108 years.
Hence, the correct answer is option 'D' (108).
**Formulating the Given Information:**
According to the first condition, eighteen years ago, the father was three times as old as his son. So, we can write the equation as:
(y - 18) = 3(x - 18)
According to the second condition, the father is now only twice as old as his son. So, we can write the equation as:
y = 2x
**Solving the Equations:**
Let's solve the equations to find the present ages of the son and the father.
From equation (2), we can rewrite it as:
x = y/2
Substituting this value of x in equation (1), we get:
(y - 18) = 3(y/2 - 18)
Simplifying the equation, we get:
2(y - 18) = 3(y - 36)
2y - 36 = 3y - 108
-y = -72
y = 72
Substituting the value of y in equation (2), we get:
x = 72/2
x = 36
So, the present age of the son is 36 years, and the present age of the father is 72 years.
**Calculating the Sum of Present Ages:**
Now, we need to find the sum of the present ages of the son and the father.
Sum = x + y
Sum = 36 + 72
Sum = 108
Therefore, the sum of the present ages of the son and the father is 108 years.
Hence, the correct answer is option 'D' (108).
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Eighteen years ago, a fathe rwas three times as old as his son. Now the father is only twice as old as his son. Then the sum of the present ages of the son and the father is:a)54b)72c)105d)108Correct answer is option 'D'. Can you explain this answer?
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Eighteen years ago, a fathe rwas three times as old as his son. Now the father is only twice as old as his son. Then the sum of the present ages of the son and the father is:a)54b)72c)105d)108Correct answer is option 'D'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about Eighteen years ago, a fathe rwas three times as old as his son. Now the father is only twice as old as his son. Then the sum of the present ages of the son and the father is:a)54b)72c)105d)108Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Eighteen years ago, a fathe rwas three times as old as his son. Now the father is only twice as old as his son. Then the sum of the present ages of the son and the father is:a)54b)72c)105d)108Correct answer is option 'D'. Can you explain this answer?.
Eighteen years ago, a fathe rwas three times as old as his son. Now the father is only twice as old as his son. Then the sum of the present ages of the son and the father is:a)54b)72c)105d)108Correct answer is option 'D'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about Eighteen years ago, a fathe rwas three times as old as his son. Now the father is only twice as old as his son. Then the sum of the present ages of the son and the father is:a)54b)72c)105d)108Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Eighteen years ago, a fathe rwas three times as old as his son. Now the father is only twice as old as his son. Then the sum of the present ages of the son and the father is:a)54b)72c)105d)108Correct answer is option 'D'. Can you explain this answer?.
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Eighteen years ago, a fathe rwas three times as old as his son. Now the father is only twice as old as his son. Then the sum of the present ages of the son and the father is:a)54b)72c)105d)108Correct answer is option 'D'. Can you explain this answer?, a detailed solution for Eighteen years ago, a fathe rwas three times as old as his son. Now the father is only twice as old as his son. Then the sum of the present ages of the son and the father is:a)54b)72c)105d)108Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of Eighteen years ago, a fathe rwas three times as old as his son. Now the father is only twice as old as his son. Then the sum of the present ages of the son and the father is:a)54b)72c)105d)108Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
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