Question

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The houses of a row are numbered consecutively from 1 to 49. Show that there is value of x such that the sum of the houses preceding the house numbered x is equal to the sum of the numbers of the houses following it . Find this value of x.
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Answer 1

Answer:

The consecutive numbers on the houses of a row are 1, 2, 3, ... 49. Clearly this list of number forming an A . P. Hence the required values of x is 35.