Problems on Ages - General Questions

The sum of the ages of two brothers is 67 years and the elder is 13 years older than the younger. What is the age of the elder brother?

A father is 5 times as old as his son. After 11 years he will be 3 times as old as his son. What is the father's present age?

3 years ago, A was 4 times as old as B. A is now 15 years older than B. What is B's present age?

The ratio of the present ages of A and B is 2 : 3. After 14 years the ratio will be 4 : 5. What is A's present age?

The ratio of the present ages of A and B is 6 : 5. After 13 years the ratio will be 43 : 38. What is A's present age?