Schul D. ...

In the Family of Nameless, it is a tradition to calculate the age of the family, which is the sum of the ages (the number of full years) of the father, mother, and all the children. On December 31, the Nameless family celebrates the birthday of their family. In the year when the youngest child Vasya was born, the family was 101 years old. A few years later, the Nameless family celebrated their 150th anniversary. How many children are there in the Nameless family?
Over a few years, the total age of the family members increased by 49. This number should be divisible by the number of family members (which is more than 2). But 49 is only divisible by 7 and 49. In the first case, there are 7 people in the family, and in the second case, only one year has passed, which contradicts the condition.

## Answer

Five children.