SOLUTION: I am a number between 1 and 100 000 000 I have eight digits, and no digits are repeated The digit in the thousands place is one-half the digit in the millions place and twice the

You can make random guesses, but that would take forever and it may not be correct. This is why CLUES

are given to allow one to get the required answer. Each clue is followed, as seen below to determine

the correct 8-digit number.



Having 8 digits means that it has a tens-of-millions digit, all the way down to a units digit, OR

_ _,_ _ _,_ _ _



Let T be the thousands digit

Then, 2T is the millions digit

, or  is the tens digit

Now, since 1 is the tens digit, then we can say that: 

T, or thousands digit = 2 ------ Cross-multiplying

This means that the millions digit = 2T, or 2(2), or 4

We now have:

_4,_ _2,_1_



Since the ten thousands digit is 1 less than the tens digit, then the ten thousands digit = 1 – 1, or 0 

We now have:

_4,_02,_1_



With 3 tens millions, we now have:

34,_02,_1_



Since the hundred thousands digit is twice the ten millions digit, then the hundred thousands digit = 2(3), or 6

We now have:

34,602,_1_



Since the sum of the ten millions and millions digits, equals the hundreds digit, then the hundreds digit = 7 (3 + 4)

We now have:

34,602,71_



Since the ones digit is two less than the hundreds digit, then the ones or units digit is: 7 – 2, or 5 



We now have the number as:  34,602,715