Question

Exactly one of the numbers 2,3 5 and 7 is placed in each of the 4 empty regions formed by circles A, B and C so that the sum of the numbers in each circle is the same. Each number is used. What is the sum of the numbers in each circle? *

Answer 1

The sum of the numbers in each circle is 17

Explanation:

The numbers to choose from are:

2, 3, 5, 7

By this alone the biggest number must be in the overlap of the three circles.

Then just fill in the numbers in such a way that they all are used.

The sum of the numbers in each circle is 17.

See picture for a solution.