Question

The ages of Anil and Sijin are in the ratio 2 : 3 . After 15 years, the ratio

of their ages will be 3 : 4 . Find their present ages.​

Answer 1

30 and 45

Explanation:

1: At the start, their ages are in the ratio 2:3. If n is the common ratio of their age, they will be 2n and 3n years old respectively.

2: After 15 years, this is 3:4, so 3n: 4n

3: Putting this into an equation, the original ratio plus 15 to each side should give the new ratio. 2n +15: 3n+15 = 3n :4n

4: if 2n + 15 = 3n, n = 15, so at the start they are 30 and 45 (2n and 3n) , and at the end they are 45: 60 (3n and 4n).

Hope this helps, let me know if you have any questions :)