Enigma 1297: In order to be true
2 September 2014
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From New Scientist #2455, 10th July 2004
We write “b + n = f + l + 1” to stand for the sentence, “the number of b’s plus the number of n’s equals the number of f’s plus the number of l’s plus one.”
In a similar way, write each of the following as a sentence in words;
m + t = p + r + 2;
a + e = h + r + 3;
f + r = h + l + 4;
l + n = f + p + 5;
t + u = a + e + 6.
Your problem is to put the six sentences you have (including the first example) into a certain order so that you have a paragraph of text with the following property:
If you take the text from the start of the paragraph up to the end of any particular sentence and count the letters in that text then you will find that particular sentence is a true statement about the text.
List the final words of the six sentences in the order in which they occur in the paragraph.
Note: I am waiting for a phone line to be connected at my new house, so I only have sporadic access to the internet at the moment.