Enigma 1215: One and a bit
26 July 2015
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From New Scientist #2371, 30th November 2002 [link]
Brits who venture into Euroland quickly discover that you get one-and-a-bit euros for every pound. I can reveal that the “bit” varies between one-third and three-eighths because:
(a) EURO × 1 ⅓ = POUND
(b) EURO × 1 ⅜ = POUND
These two sums are entirely distinct: any letter may or may not have the same value in one sum as in the other. But within each sum digits have been consistently represented by capital letters, different letters being used for different digits. No number starts with a zero.
Find the 5-digit numbers represented by POUND in (a) and (b).