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27 September, 02:46

Three numbers A. B and C are in the ratio of 12:15: 25. If sum of these numbers is 312, find the ratio between the difference of B and A and the difference of

C and B.

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  1. 27 September, 03:14
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    The ratio of difference between B and A and the difference between C and B is 3 : 10

    Step-by-step explanation:

    Three numbers A, B and C are in the ratio of 12: 15 : 25

    Let the rational between the numbers be x. Hence the three numbers are:

    A is 12x, B is 15x and C is 25x.

    Sum of these numbers is 312,

    12x + 15x + 25x = 312

    52x = 312

    x = 6

    The rational is 6. Thus the three numbers are:

    A = 12x = 12 * 6 = 72

    B = 15x = 15 * 6 = 90

    C = 25x = 25 * 6 = 150

    Ratio between the difference of B and A and the difference of C and B to be calculated

    Difference between B - A = 90 - 72 = 18

    Difference between C - B = 150 - 90 = 60

    Thus the ratio of difference between B and A and the difference between C and B is 18 : 60 or 3 : 10
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