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The sum of the present ages of a mother and her daughter is 50 years. Five years ago, the mother's age was 4 times the daughter's age. Find the daughter's present age (in years).

Competition practiceAverages & Ages
  • A10
  • B13
  • C12
  • D15

Step-by-Step Solution

m + d = 50 and m − 5 = 4(d − 5). Substituting m = 50 − d gives 45 − d = 4d − 20, so 5d = 65 and d = 13.
Answer: B) 13

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