The Case of the Missing Digit
A friend of mine asked me to write down any multi digit 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 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?
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?
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.
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.
