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      Question

      The ratio of the lengths of rods A, B, and C is 2:3:4

      respectively. Rod D is 5 cm shorter than rod C. If the difference between rod C and rod A is 20 cm, find the ratio of length of rod B to rod D.
      A 6:7 Correct Answer Incorrect Answer
      B 5:6 Correct Answer Incorrect Answer
      C 7:6 Correct Answer Incorrect Answer
      D 4:5 Correct Answer Incorrect Answer

      Solution

      Let the lengths be 2x, 3x, and 4x respectively. 
      So, length of rod D = 4x - 5
      ATQ, 
      4x - 2x = 20 
      Or, 2x = 20 
      Or, x = 10
      So, length of rod B = 3 × 10 = 30 
      And, rod D = 4 × 10 - 5 = 35
      Required ratio = 30:35 = 6:7  

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