Henry Ernest Dudeney/Modern Puzzles/85 - The House Number

Modern Puzzles by Henry Ernest Dudeney: $85$

The House Number

A man said the house of his friend was in a long street,

numbered on his side one, two, three, and so on,

and that all the numbers on one side of him added up exactly the same as all the numbers on the other side of him.

He said he knew there were more than fifty houses on that side of the street,

but not as many as five hundred.

Can you discover the number of that house?

Sources

• 1926: Henry Ernest Dudeney: Modern Puzzles ... (previous) ... (next): Arithmetical and Algebraical Problems: Various Arithmetical and Algebraical Problems: $85$. -- The House Number
• 1968: Henry Ernest Dudeney: 536 Puzzles & Curious Problems ... (previous) ... (next): Arithmetical and Algebraical Problems: Miscellaneous Puzzles: $168$. The House Number