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      Question

      6 years from now, the ratio of ages of Amit and Sumit

      will be 4:5, respectively. The sum of their present ages is 114 years. What is the difference between their present ages?
      A 12 yrs Correct Answer Incorrect Answer
      B 14 yrs Correct Answer Incorrect Answer
      C 15 yrs Correct Answer Incorrect Answer
      D 18 yrs Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ,

      6 years from now, let the age of Amit = 4x years Then, 6 years from now, age of Sumit = (5/4) ├Ч 4x = 5x years So, present age of Amit = (4x тАУ 6) years Present age of Sumit = (5x тАУ 6) years Sum of present ages of Amit and Sumit = 4x тАУ 6 + 5x тАУ 6 = (9x тАУ 12) years So, 9x тАУ 12 = 114 тЗТ 9x = 114 + 12 = 126 тЗТ x = 126 / 9 = 14 So, difference between present ages of Amit and Sumit = 5x тАУ 4x = x = 14 years

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