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APMOPS 2013 Question 17

APMOPS · APMOPS 2013

Question 17

In the given diagram, each circle contains a natural number and the diagram satisfies the following conditions:

1. The number labelled along each edge represents the difference between the numbers in the two circles joined by the edge.
2. The sum of the numbers in the $5$ circles is equal to $1979$.

Find the number in circle $A$.

Question illustration