[vc_row][vc_column][vc_column_text]Find the three positive integers a, b, c where a < b < c, which satisfy:
a*b*c + a*b + b*c + c*a + a + b + c = 2013
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Problem Page Coordinator: Stephen Lee CMath MIMA
Mathematics in Education and Industry
Acknowledgement: The IMA are indebted to MEI for sourcing and supplying Mathematics Today with these well-known puzzles.
First published in Mathematics Today (December 2014)