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      Question

      The ratio of Meera’s father’s age to her mother’s

      age is H:K. If the father becomes 7 years older and the mother becomes 3 years younger, the ratio turns 11/7. If the sum of their present ages is 68 years, find Meera’s father’s current age.
      A 45 yrs Correct Answer Incorrect Answer
      B 32 yrs Correct Answer Incorrect Answer
      C 37 yrs Correct Answer Incorrect Answer
      D 48 yrs Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ, Father’s age = x Mother’s age = y x + y = 68 — (1) (x + 7) / (y − 3) = 11 / 7 7(x + 7) = 11(y − 3) 7x + 49 = 11y − 33 7x − 11y = −82 — (2) Multiply (1) by 11: 11x + 11y = 748 Add with (2): (11x + 11y) + (7x − 11y) = 748 − 82 18x = 666 x = 666 / 18 = 37 Required answer = 37 years

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