The brother and sister ages puzzle
✓ With solution
He's twice her age today, and was three times her age 6 years ago. How old is she?
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Question 1
Ahmad is twice as old as his sister Salma today. Six years ago, he was three times her age.
How old is Salma today?
- A6
- B10
- C12
- D18
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Answer: C) 12. Call Salma's age x, so Ahmad is 2x. Six years ago: 2x − 6 = 3 × (x − 6), so 2x − 6 = 3x − 18, which gives x = 12. Check: today they are 12 and 24; six years ago they were 6 and 18, and 18 is three times 6.
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