Problem 5. When asked how old each member of his family was, Pavel replied: "My brother and I were born on the same day in the same year, and together we have as many years as there are months in a year. My brother, my father, and I together have 40 years, my mother has as many years as my father, and my mother and grandmother together have 83 years. My grandmother, my father, and my grandfather together have 139 years." Calculate how old each member of Pavel's family is.
Solution. Pavel and his brother are twins and together they are 12 years old, which means each of them is 6 years old. Together with their father, they have 40 years, so Pavel's father is $40-12=28$ years old, the same as Pavel's mother. Together with Pavel's grandmother, they have 83 years, so the grandmother is 83-28=55 years old. From the last condition, for Pavel's grandfather, we get that he is 139$(55+28)=56$ years old.

## V section