Justin Thyme

2015-09-23 12:39:33 UTC

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On the wireless this am (http://www.bbc.co.uk/programmes/b00yb2vg).Raw Message

TEA + ATE + EAT = BUNS

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Justin Thyme

2015-09-23 12:39:33 UTC

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On the wireless this am (http://www.bbc.co.uk/programmes/b00yb2vg).Raw Message

TEA + ATE + EAT = BUNS

John Francis

2015-09-23 16:15:39 UTC

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On the wireless this am (http://www.bbc.co.uk/programmes/b00yb2vg).

TEA + ATE + EAT = BUNS

The LHS has the same three digits in each position,

so the sum is going to be some multiple of 111.

Three different digits will add up to some value

less than or equal to 24, so we only have at most

24 multiples of 111 to look at to see which ones

are four-digit numbers containing no repeated digits.

It turns out that there is exactly one candidate;

19 x 111 = 2109.

So BUNS is 2109, and A,E and T add up to 19.

A, E and T are, in some order, either 4,7,8 or 5,6,8.

Justin Thyme

2015-09-23 16:16:59 UTC

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On the wireless this am (http://www.bbc.co.uk/programmes/b00yb2vg).

TEA + ATE + EAT = BUNS

but T,E,A cannot (clearly they permute with one another).

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