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The houses of a row are numbered consecu...

The houses of a row are numbered consecutively 45 cm from 1 to 49. Show that there is a value of x such that the sum of the numbers of the houses preceding the house numbered x is equal to the sum of the numbers of the houses following it. And find this value of x.
[Hint: `S_(x-1) = S_(49) -S_(x)]`

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