The average of the numbers 1, 2, 3,................. 98, 99 and 'x' is 100x. Find the value of x?

We have,      average of 1, 2, 3, ......., 99, x = 100x1 + 2 + 3 + .......+99 + x100 = 100x4950 + x = 10000x   as, Sn = nn+12, where n is the natural numbers, S99 =49509999x = 4950x = 49509999 = 50101

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