Three numbers A, B and C are in the ratio of 10 : 12 : 17. If sum of these numbers is 429, ratio between the difference of B and A and the difference of C and B is –

Let the number A, B and C be 10a , 12a and 17a respectively Then from the question 10a + 12a + 17a = 429 a = 429/39 = 11 Required ratio = (12 × 11 – 10 × 11)/(17 × 11 – 12 × 11) = 2:5

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