Teaser 2855: Fab four
From The Sunday Times, 11th June 2017 [link] [link]
Here are four numbers, where each is the same fixed whole-number multiple of the previous one. However, in some places I have consistently replaced digits by letters — and in the other places the digits have been replaced by [asterisks]. In this way the numbers have become the fabulous four:
JOHN
P*UL
R***O
****GEWhat number is my GROUP?
[teaser2855]
S2T2 
Jim Randell 10:24 am on 30 December 2021 Permalink |
I used the [[
SubstitutedExpression]] solver from the enigma.py library to solve this puzzle.I added lower case letters (which don’t have to be distinct from each other) to fill in the gaps in the words.
The following run file executes in 83ms.
Run: [ @replit ]
#! python3 -m enigma -rr SubstitutedExpression --distinct="EGHJLNOPRU" --reorder=0 "{JOHN} * {z} = {PaUL}" "{PaUL} * {z} = {RingO}" "{RingO} * {z} = {jeorGE}" --answer="{GROUP}"Solution: GROUP = 57209.
The expressions are:
alphametically:
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