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      Question

      Three numbers are in the ratio 19 : 21 : 23. If the difference between thrice the third number and the sum of first and second number is 841. Find the difference between the first and third number?

      A 116 Correct Answer Incorrect Answer
      B 126 Correct Answer Incorrect Answer
      C 146 Correct Answer Incorrect Answer
      D 136 Correct Answer Incorrect Answer

      Solution

      Let the first, second and third numbers be 19x, 21x and 23x respectively. so, => 3 × 23x - (19x + 21x) = 841 => 69x - 40x = 841 => x = 841/29 = 29 Therefore required difference = 23x - 19x = 4x = 4 × 29 = 116 

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