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Last house on the street (Posted on 2022-05-31) Difficulty: 3 of 5
The great Dudeney, bless his soul, created, inter alia, the following puzzle:

There was a man who lived on a XXXX street numbered 1,2,3 … etc. on his side and all the following numbers on the other side of him. The numbers on both sides added to exactly the same amount. What was the number of the last house?

I have slightly changed the original wording and also took the liberty of coding a single 4 letter word of his text to avoid getting a trivial solution.
I ask for a solution which is over 45. The upper limit stays open. So:

a. Provide an answer (or answers) 46 and up.
b. What word was replaced by XXXX?

Bonne chance!

No Solution Yet Submitted by Ady TZIDON    
Rating: 4.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
if thee were only odd numbers on his side Comment 7 of 7 |
There would be these possibilities:

1-5 7 9-9
1-39 41 43-57
1-237 239 241-337
1-1391 1393 1395-1969

with only even numbers it would be double the numbers with all numbers allowed

2-10 12 14-16
2-68 70 72-98
2-406 408 410-576
2-2376 2378 2380-3362



  Posted by Charlie on 2022-05-31 16:26:01
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