Twelve years hence, the ratio of ages of Anita and Pankaj will be 25 : 33. Eight years ago, the ratio of ages of Anita and Pankaj was 5 : 13. What is the sum of the present ages of Anita and Pankaj?

Let Anita and Pankaj's present ages be A and P, making the equations A + 12 = 25x and P + 12 = 33x for a common variable x. Eight years ago, the ratio of their ages was A - 8 to P - 8 equals 5 to 13, so we substitute the expressions to get 13 times (25x - 20) equals 5 times (33x - 20). Solving 325x - 260 = 165x - 100 yields x = 1, meaning their present ages are 13 and 21, which sum to 34 years.

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