1

Part of 2014 Tournament of Towns.

Problems(2)

TOT 2014 Spring O J1 , 100 numbers was increased by 1

Source:

100

numbers was increased by

1

. Then each number was increased by

1

once more. Given that the first time the sum of the squares of the numbers was not changed find how this sum was changed the second time.

TOT 2014 Spring A J1, 47 chocolates and 74 marmalades

Source:

During Christmas party Santa handed out to the children

47

74

marmalades. Each girl got

1

more chocolate than each boy but each boy got

1

more marmalade than each girl. What was the number of the children?