Mathematics

Mathematics

Problem

4. The houses of a row are numbered consecutively from 1 to 49 . Show that there is a value of xx such that the sum of the numbers of the houses preceding the house numbered xx is equal to the sum of the numbers of the houses following it. Find this value of xx. \left[ Hint : Sx−1=S49−Sx]\left.\mathrm{S}_{x-1}=\mathrm{S}_{49}-\mathrm{S}_{x}\right]

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