’I am the largest 5-digit number you can make that has all odd digits. My ten thousands digit is thrice my ones digit. My thousands digit is two more than my hundreds digit. What number am I?

Hi Carleen340, 

You can find the answer by first writing 5 blanks and labeling the place values and then tackling each clue one by one.  

________ _________,  ________ ________ ________
    T Th           Th              H             T             O

The first clue says that it is the largest number 5-digit number you can make with all odd numbers. The highest single digit odd number is 9 so at first I guessed 99,999 but that didn’t match the other clues.  

Then you tackled clue 2, which is that the ten thousands digit is three times (or thrice) the ones digit. Because I want it to be the highest number possible I made the ten thousands a 9. 9 divided by 3 is 3. That makes the ten thousands place three times the ones place.

___9___ _________,  ________ ________ ____3___

Clue 3 tells you that the thousands digit is two more than the hundreds digit. Again, you want the number to make the highest possible so you place a 9 in the thousands place. 2 less than that is 7, which is what goes in the hundreds place.  

___9___ ____9___,  ____7___ ________ ____3___

Last, but not least, you place a 9 in the tens place because, again, you want it to be the highest number possible.  

The answer is:

___9___ ____9___,  ____7___ ____9___ ____3___


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