vera_ewing
  • vera_ewing
How would you solve this?
Mathematics
katieb
  • katieb
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vera_ewing
  • vera_ewing
A three-digit number, XYZ, is formed of three different non-zero digits X, Y , and Z. A new number is formed by rearranging the same three digits. What is the greatest possible difference between the two numbers? (For ex- ample, 345 could be rearranged into 435, for a difference of 435 − 345 = 90.)
acxbox22
  • acxbox22
i am not good with these type of questions..sorry
vera_ewing
  • vera_ewing
@Luigi0210 How would you solve this?

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sdfgsdfgs
  • sdfgsdfgs
well, 9 n 1 will be two obvious choices for XYZ....but what should the third no. be.....
acxbox22
  • acxbox22
i am thinking a number that is in the middle
vera_ewing
  • vera_ewing
How did you figure that out?
acxbox22
  • acxbox22
for the third digit
vera_ewing
  • vera_ewing
The middle number has to be between 2 and 8 right?
acxbox22
  • acxbox22
9 and 1 have the greatest difference
sdfgsdfgs
  • sdfgsdfgs
hahahaa it doesnt matter what the 3rd number is....
acxbox22
  • acxbox22
ya it does
vera_ewing
  • vera_ewing
9_1 ?
sdfgsdfgs
  • sdfgsdfgs
9a1 and 1a9 with the difference being 792...
vera_ewing
  • vera_ewing
The middle number doesn't matter actually.
acxbox22
  • acxbox22
|dw:1434485534915:dw|
vera_ewing
  • vera_ewing
9 _ 1 @acxbox22
vera_ewing
  • vera_ewing
We need the largest number.
sdfgsdfgs
  • sdfgsdfgs
but in order to max the difference, the pair should be 9_1 and 1_9 :)
vera_ewing
  • vera_ewing
@sdfgsdfgs You're brilliant! Thank you for helping me understand! :)
acxbox22
  • acxbox22
|dw:1434485610939:dw| OR |dw:1434485639052:dw|
vera_ewing
  • vera_ewing
A three-digit number, XYZ, is formed of three different non-zero digits X, Y , and Z. A new number is formed by rearranging the same three digits. What is the GREATEST POSSIBLE difference between the two numbers? (For ex- ample, 345 could be rearranged into 435, for a difference of 435 − 345 = 90.)
vera_ewing
  • vera_ewing
Anyway, thank you SO much @sdfgsdfgs for helping me understand this concept! :)
vera_ewing
  • vera_ewing
And @acxbox22 thank you! :)
acxbox22
  • acxbox22
ya i tried a few numbers in all 8 conditions but the first one creates the biggest difference for all numbers

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