How would you solve this?

Question

vera_ewing · Answer

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 · Answer

i am not good with these type of questions..sorry

vera_ewing · Answer

@Luigi0210 How would you solve this?

sdfgsdfgs · Answer

well, 9 n 1 will be two obvious choices for XYZ....but what should the third no. be.....

acxbox22 · Answer

i am thinking a number that is in the middle

vera_ewing · Answer

How did you figure that out?

acxbox22 · Answer

for the third digit

vera_ewing · Answer

The middle number has to be between 2 and 8 right?

acxbox22 · Answer

9 and 1 have the greatest difference

sdfgsdfgs · Answer

hahahaa it doesnt matter what the 3rd number is....

acxbox22 · Answer

ya it does

vera_ewing · Answer

9_1 ?

sdfgsdfgs · Answer

9a1 and 1a9 with the difference being 792...

vera_ewing · Answer

The middle number doesn't matter actually.

acxbox22 · Answer

|dw:1434485534915:dw|