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?

Answer 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

Answer 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