Showing posts with label The case of the Missing Digit. Show all posts
Showing posts with label The case of the Missing Digit. Show all posts

Saturday, 13 December 2014

The case of the Missing Digit




          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 96452
Then he asked me to ad 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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