Problems on Ages Hard Level

A is 12 years older than B. Six years ago A was 4 times as old as B. How old is A now?

A father is twice as old as his elder son. Ten years from now the father will be 3 times as old as the younger son. The sons differ in age by 15 years. How old is the father?

A father is 4 times as old as his son. Five years ago the product of their ages was 234. How old is the father now?

Two brothers are 32 years old in all. The elder's age 6 years ago equals the younger's age 2 years from now. How old is the elder?

A is 3 years younger than B, and B is 9 years older than C. Together they are 66 years old. How old is A?

A father's age is his son's age with the digits reversed. Their ages add up to 99 and differ by 27. How old is the father?

A is 5 years older than B, and C is twice as old as A. Their ages add up to 87. How old is B?

The present ages of a mother and daughter are in the ratio 7 : 1. Four years ago the ratio was 19 : 1. How old is the mother now?

A and B are 40 and 60 years old. How many years ago was the ratio of their ages 3 : 5?

Five years from now the ages of A and B will be in the ratio 3 : 4. Five years ago the ratio was 5 : 7. How old is A now?