The case of the Missing Digit

Ramarao Rama Rao
A friend of mine asked me to write down any multidigit number. But, he put a condition, The number should not end with a zero I put down the number 996452 Then he asked me to add up the five digits and subtract the total from the original Number.  I did and here is what I got: 96452-26=96426 He then asked me to cross out any one of the five digits and tell him the remaining Numbers.  I crossed out the 2 and told him the rest of the digits.  I neither Told him the original number nor what I had done with it. Yet ‘pop’ he told me the exact number I had crossed out. How do you explain it? Answer: very simple. All you have to do is to find the digit which, added to the Two you will get nearest divisible by 9. For example, in 639, I crossed out the 3, and I told him the other two 6 and 9. All he had to do was add them and get 15. The nearest number divisible by 9 is 18. Therefore the missing number is 3. 

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