How Many Children?
You came to visit a friend and saw children playing in the back yard. You were curious whether all the children were his.
-"Of course not. My family is the biggest, but there are kids from 3 other families playing there: The Whites have smaller number of children, the Browns have a still smaller number, and the Blacks the smallest.".
-"How many children overall?" you insist, this is too complicated.
-"There are less than 18 children, and the product of all the numbers is my house number". Aha! You almost know the answer now, you just ask one last question: "Is there more than one child in the black family?". When your friend replies -- you know the answer.
How many children in each family?
-"Of course not. My family is the biggest, but there are kids from 3 other families playing there: The Whites have smaller number of children, the Browns have a still smaller number, and the Blacks the smallest.".
-"How many children overall?" you insist, this is too complicated.
-"There are less than 18 children, and the product of all the numbers is my house number". Aha! You almost know the answer now, you just ask one last question: "Is there more than one child in the black family?". When your friend replies -- you know the answer.
How many children in each family?