A father was twelve times as old as his son twenty years ago. Now he is twice as old as his son. What are the present ages
ofthe son and father?
This questions was previously asked in
SSC CGL 10 June 2019 Shift-3
22 and 44 years
Correct Answer27 and 54 years
Incorrect Answer33 and 66 years
Incorrect Answer15 and 30 years
Incorrect AnswerExplanation:
- Let's denote the son's current age as \( x \) and the father's current age as \( 2x \) since the father is now twice as old as his son.
- Twenty years ago, the son's age was \( x - 20 \) and the father's age was \( 2x - 20 \).
- At that time, the father was twelve times as old as the son, so we have the equation: \( 2x - 20 = 12(x - 20) \).
- Solving the equation:
\( 2x - 20 = 12x - 240 \)
results in
\( 220 = 10x \),
so \( x = 22 \).
- Therefore, the father is \( 2x = 44 \).
- Let's go through the options:
- Option 1: 22 and 44 years.
- Option 2: 27 and 54 years.
- Option 3: 33 and 66 years.
- Option 4: 15 and 30 years.
- Based on calculations, the present ages are indeed 22 and 44 years.
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