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Three years back, a father was 24 years older than his son. At present the father is 5 times as old as the son. How old will the son be three years from now?
  • a)
    12 years
  • b)
    6 years
  • c)
    3 years
  • d)
    9 years
  • e)
    27 years
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
Three years back, a father was 24 years older than his son. At present...
Let the age of the son 3 years back be 'x' years.
Information 1: Three years back, a father was 24 years older than his son. 
Therefore, the age of the father 3 years back was (x + 24).
If the age of the son 3 years back was 'x' years, the present age of the son is x + 3.
Present age of father = x + 24 + 3
Information 2: The father is at present 5 times as old as the son.
i.e., (x + 24 + 3) = 5(x + 3)
Or x + 27 = 5x + 15
Or 4x = 12 or x = 3.
Step 2 of solving this GMAT Algebra Word Problem: From unknown to the answer
x was the age of the son 3 years back.
Therefore, the son was 3 years old 3 years back.
The question is "How old will the son be three years from now?"
If the son was 3 years old, 3 years back, the son is 6 years old now.
Hence, he will be 9 years old three years from now.
Choice D is the correct answer.
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Most Upvoted Answer
Three years back, a father was 24 years older than his son. At present...
Problem: Three years back, a father was 24 years older than his son. At present the father is 5 times as old as the son. How old will the son be three years from now?

Solution:

Let the present age of the son be x.

According to the problem, the father's present age is 5x.

Three years back, the son's age was x - 3, and the father's age was 5x - 3.

At that time, the father was 24 years older than his son, so we can write:

5x - 3 = 24 + (x - 3)

Solving for x, we get:

4x = 24 + 3 + 24

4x = 51

x = 12.75

Since the son's age must be a whole number, we can round x up to 13.

Therefore, the son's present age is 13, and the father's present age is 5 x 13 = 65.

Three years from now, the son will be 13 + 3 = 16 years old.

Answer: Option D (9 years) is incorrect, and the correct answer is option D (16 years).
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Three years back, a father was 24 years older than his son. At present the father is 5 times as old as the son. How old will the son be three years from now?a)12 yearsb)6 yearsc)3 yearsd)9 yearse)27 yearsCorrect answer is option 'D'. Can you explain this answer?
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