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      Question

      Average age of 4 daughter of a family is 8 years and

      average age of daughter together with their parents is 16 years. If mother is 4 years younger than father. Find the age of father 2 year ago.
      A 38 years Correct Answer Incorrect Answer
      B 32 years Correct Answer Incorrect Answer
      C 25 years Correct Answer Incorrect Answer
      D 42 years Correct Answer Incorrect Answer
      E 55 years Correct Answer Incorrect Answer

      Solution

      Total age of daughters = 4 × 8 = 32 years ----- (i) Total age of daughters and their parents = 6 × 16 = 96 years ----- (ii) Here mother is 4 years younger than father, Solving (i) & (ii) we get, Father’s age = 34 years Father’s age 2 years ago = 34 − 2 = 32 years

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