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      Question

      If a:b:c = (1/6) :(1/8) :(1/5) , and a + b + c = 236,

      then find the value of (c - a) .
      A 12 Correct Answer Incorrect Answer
      B 16 Correct Answer Incorrect Answer
      C 18 Correct Answer Incorrect Answer
      D 24 Correct Answer Incorrect Answer

      Solution

      Given: (1/6) :(1/8) :(1/5)

      Multiplying throughout by 120 (LCM of 6, 8 and 5) , we get

      So, a:b:c = 20:15:24

      Let 'a' = '20x', 'b' = '15x' and 'c' = '24x'

      So, 20x + 15x + 24x = 236

      So, 59x = 236

      So, x = 4

      So, required value = 24x - 20x = 4x = 4 X 4 = 16

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