Enigma 1607: England 1, Germany 4
4 January 2012
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From New Scientist #2772, 7th August 2010 [link]
At the football World Cup in South Africa, the England team lost to Germany 1-4 and so was eliminated from the tournament.
In the equations below, each of the integers 1 to 9 has been replaced consistently by a different letter, in such a way that:
(E×N×G×L×A×N×D) / (G×E×R×M×A×N×Y) = 1 / 4
(E+N+G+L+A+N+D) – (G+E+R+M+A+N+Y) = 1 – 4.
What is the numerical value of A+N+G+L+E+D?