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