SOLUTION: Find a three digit number whose third digit is one less than the second digit. The sum of its digits is 9. If the digits are reversed the new number is 99 less than the original.

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Question 584340: Find a three digit number whose third digit is one less than the second digit. The sum of its digits is 9.
If the digits are reversed the new number is 99 less than the original.
Find the number

Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
100x+10y+z
z=y-1
x+y+z=9
100x+10y+z+99=100z+10y+x
x=2
y=4
z=3
243