Bring 100 by adding

Bring 100 by adding

Using the numbers 0 to 9 once each, what combination will add up to exactly 100? Note that you can use ONLY ADDITION and no other mathematical operations.

Answer:

It is impossible to get 100 using digits 0-9 once each and only through addition. All digits from 0 to 9 add up to 45. Now take any two digits (and make a two-digit number) and add it to the remaining digits. The result will always increase by a multiple of 9. e.g. Let's take 1 and 2 i.e. 12 and add all remaining digits to it, the total is 54 i.e. 45+ 9. Thus, whatever you do the answer will always be 45 + 9X, where X isan integer. In other words, we are trying to solve
45 + 9X = 100 forinteger value of X. Thus, it is impossible to get 100 using digits 0-9 once each and only through addition.

posted by padmaram @ 7:55 PM