Ten years ago, Aftab's age was one-third of Kashif's. Kashif's present age exceeds Aftab's by 12 years. Determine Aftab's current age?
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Answer: B. 16
Explanation
Letting Aftab current age be x allows expressing Kashif age as x plus 12 years. Ten years ago their respective ages were x minus 10 and x plus 2. Solving the linear equation where past age of Aftab is one-third of Kashif gives 16. Linear equations in one variable effectively model relative age word problems. Age differences between two individuals remain constant across all time periods. Substituting x equals 16 into the past age equation confirms mathematical equality.
Age-related word problems develop algebraic modeling and problem-solving skills. Demographic studies track age relationships and cohort distributions over time. Logical deduction puzzles frequently use temporal relationships between individuals. Choosing 14 fails to satisfy the past age ratio condition in the equation. Choosing 18 results in an incorrect ratio when calculating their ages ten years ago. Choosing 20 creates an incorrect age difference and ratio balance.
- Subject
- Mathematics
- Category
- Mathematics
- Topic
- —
- Difficulty
- medium
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