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The ratio of madhus age and karinas age is 6:7.after 12years the ratio of their ages will be 12:13. Find their present ages?

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  1. 6/7 = m/k so m = 6 k/7

    12/13 = (m+12)/(k+12)

    or
    12/13 = (6k/7 + 12) / (k+12)

    12/13 = (6 k + 84)/7(k+12)

    84 (k+12) = 13 (6 k + 84)

    84 k + 1008 = 78 k + 1092

    6 k = 84

    k = 14
    then m = 6 k/7 = 12

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  2. let their ages be 6x and 7x

    (6x+12)/(7x+12) = 12/13
    78x + 156 = 84x + 144
    -6x = -12
    x = 2

    they are now 12 and 14

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