The Mysterious number 22
This is a wonderful opportunity to show on the usefulness of algebra, for it will be throgh algebra that your curiosity will be quenched.
The reader is urged to work on the following istructions, without checking with the example provided below.
Select any three digit number with all digits different from one another. Write all possible two-digit numbers formed from these three digits. Then divide the sum of these two-digit numbers by the sum of the digits in the original three digit number.
Everyone should get the same answer, 22. This ought to get a big "WOW!"
- For Example, Consider the three digit number 365. Take sum of all the possible two digit numbers that can be formed from these three digits. 36+35+63+65+53+56=308
- The sum of the digits of the original number is 3+6+5=14
- Then 308/14 = 22
