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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.)
i am not good with these type of questions..sorry
well, 9 n 1 will be two obvious choices for XYZ....but what should the third no. be.....
i am thinking a number that is in the middle
How did you figure that out?
for the third digit
The middle number has to be between 2 and 8 right?
9 and 1 have the greatest difference
hahahaa it doesnt matter what the 3rd number is....
ya it does
9a1 and 1a9 with the difference being 792...
The middle number doesn't matter actually.
We need the largest number.
but in order to max the difference, the pair should be 9_1 and 1_9 :)
|dw:1434485610939:dw| OR |dw:1434485639052:dw|
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.)
ya i tried a few numbers in all 8 conditions but the first one creates the biggest difference for all numbers