Puzzle 44: Men-only Mews
18 July 2018
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From New Scientist #1095, 23rd March 1978 [link]
At the time with which this story deals Alf, Bert, Charlie, Duggie and Ernie were living in separate houses in Men-only Mews.
It is useful for the managing director to know the address of his staff, but I’m afraid this information was not very easy to obtain.
However, I did manage to get some of them to tell me something:
Duggie said that the number of his house was three times the number of Bert’s.
Alf said that his number was odd, and was 23 more than Ernie’s.
Bert said that his number was nine less than Alf’s.
And Charlie said that his number was halfway between Bert’s and Duggie’s.
Men-only Mews has houses numbered from 1-50.
Find the numbers of all their houses.