An old puzzle

[imhotep]

There is a street of houses with consecutive numbers between 50 and 500, Find the house number, for which, the sum of numbers on the left is equal to the sum of numbers on the right.

eg: Say the house numbers are 1, 2, 3, 4 , 5, 6, 7, and 8. Then house No#6 fits this condition. (either side of house No#6 adds up to 15)

PS: When someone answers, I will update about the background of this problem.

 

[hodakolla]

BUMPER

 

[asylum]

bump.

 

[malakadss]

Houses are in the two sides of the street ? how they are numbered ?

 

[imhotep]

Houses are in the two sides of the street ? how they are numbered ?

All houses are on ONE side of the street and they are consecutively numbered. 50, 51, 52, 53.... etc up to 500, the last house.

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No one has a solution.....
------ Post added on Feb 27, 2021 at 5:16 PM

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Bump
------ Post added on Mar 6, 2021 at 8:07 AM

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------ Post added on May 20, 2021 at 5:55 AM

 

[RavinduSha]

There is a street of houses with consecutive numbers between 50 and 500, Find the house number, for which, the sum of numbers on the left is equal to the sum of numbers on the right.

eg: Say the house numbers are 1, 2, 3, 4 , 5, 6, 7, and 8. Then house No#6 fits this condition. (either side of house No#6 adds up to 15)

PS: When someone answers, I will update about the background of this problem.

50, 500 range eke okata answer ekak na

 

[lprj]

355

 

[RavinduSha]

355

355ta enne 61610, 62060 nemeida?

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Spoiler: calculations

h50 L:0 R:123975
h51 L:50 R:123924
h52 L:101 R:123872
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h496 L:121535 R:1994
h497 L:122031 R:1497
h498 L:122528 R:999
h499 L:123026 R:500
h500 L:123525 R:0

------ Post added on May 27, 2021 at 12:53 PM

 

[lgayyamp]

B U M P​

 

[imhotep]

50, 500 range eke okata answer ekak na

Yes... Sorry. The mistake was on the explanatory note in reply to the question raised by another member... The original wording is correct - the street has a house number count of between 50 and 500.
As the example shows if there only 15 houses then house No#6 fits.

The houses are numbered from No#1 onwards subjected to a minimum of 50 and a maximum of 500. We know that there are more than 50 houses, but we do NOT know the last house number, but only know that it is LESS than 500.

 

[MrFrog]

Yes... Sorry. The mistake was on the explanatory note in reply to the question raised by another member... The original wording is correct - the street has a house number count of between 50 and 500.
As the example shows if there only 15 houses then house No#6 fits.

The houses are numbered from No#1 onwards subjected to a minimum of 50 and a maximum of 500. We know that there are more than 50 houses, but we do NOT know the last house number, but only know that it is LESS than 500.

true I was going to comment this. the number of houses is some number between 50 and 500. So we dont know the number of houses ( = the number of the last house) and that particular house's number.

 

[RavinduSha]

@imhotep
house number: 204
house count: 288

Spoiler: extra