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*simple and ELEGANT way of checking if one number is divisble by 11 is to sum the alternate digits of this number.**sum of digits starting with 7 = 7 + 9 + 2 + 2 = 20**Sum of digits starting with 8 = 8 + 5 + 7 = 20**Difference between these two sums = 0**Rule is that if this difference is divisible by 11, then the original number is divisible by 11.**Hence it is divisible by 11*