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The sum of the present ages of a mother and her daughter is 60 years. Six years ago, the mother was five times as old as the daughter. What is the daughter's present age (in years)?

Competition practiceAverages & Ages
  • A14
  • B10
  • C16
  • D12

Step-by-Step Solution

Let daughter = D, mother = 60 - D. Then (60-D-6) = 5(D-6) gives 54 - D = 5D - 30, so 6D = 84 and D = 14 years.
Answer: A) 14

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