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The sum of the present ages of a mother and her daughter is 60 years. Six years ago the mother's age was five times the daughter's age. Find the present age of the daughter.

Competition practiceAverages & Ages
  • A12
  • B14
  • C10
  • D15

Step-by-Step Solution

Let daughter = d, mother = 60 − d. Six years ago: (60 − d − 6) = 5(d − 6), so 54 − d = 5d − 30, giving d = 14 years.
Answer: B) 14

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