# Guess the ages of the couple ?

Let the present ages of Bob and Alice be **a** and **b** respectively.

From given conditions:-

12 years ago=>

3

__ * (a-12) = b – 12 ———————-(1)

4

Now=>

5

__ * a = b —————————(2)

6

from equations (1) and (2)=> 3/4(a-12) = (5/6)*a – 12

=>3a/4-9 = 5a/6 – 12

=>5a/6-3a/4 = 12-9

=> a/12 = 3

=> a = 36

Putting the value of a in equation (2) => b = 30

**Present ages of Bob and Alice are 36 and 30 respectively. Thus, 12 years ago their ages would have been 24 and 18 respectively.**

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