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APMOPS 2001 Question 28

APMOPS · APMOPS 2001

Question 28

The diagram shows three circles A, B and C. $\frac13$ of circle A is shaded, $\frac12$ of circle B is shaded, and $\frac14$ of circle C is shaded. If the total area of A and B equals $\frac23$ of the area of C, find the ratio of the area of A to the area of B.

Question illustration

Question illustration