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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 seven times the daughter's age. Find the daughter's present age.

Competition practiceAverages & Ages
  • A8
  • B12
  • C10
  • D15

Step-by-Step Solution

With mother m and daughter d, m + d = 50 and m − 5 = 7(d − 5). Substituting m = 50 − d gives 45 − d = 7d − 35, so d = 10 years.
Answer: C) 10

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