## Task 3 - 180713

How old is Margit now if her mother is currently 30 years old, her grandmother is currently 62 years old, and in a few years the mother will be four times as old and at the same time the grandmother will be eight times as old as Margit?

(Only full years of life are considered.)
If after a few years the mother will be four times as old as Margit, the grandmother will be twice as old as the mother.

The age difference of 32 years between the grandmother and the mother does not change. It will therefore also be 32 at the later time mentioned in the problem. At that time, however, since the grandmother will be twice the age of the mother, it will be equal to the mother's age at that time. She will then be 32 years old, which will happen in two years. Since $32 \div 4 = 8$, Margit will be 8 years old at that time; therefore, she is now 6 years old.