SOLUTION: The ones and hundreds digits of a three-digit number are interchanged and the new number is subtracted from the first number. The difference obtained is three-digit number 59x. Fin

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Question 651642: The ones and hundreds digits of a three-digit number are interchanged and the new number is subtracted from the first number. The difference obtained is three-digit number 59x. Find x. How am I going to find x ?? I tried by using xyz-zyk=59x but i would get decimal number.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
The ones and hundreds digits of a three-digit number are interchanged and the
new number is subtracted from the first number.
The difference obtained is three-digit number 59x. Find x.
:
The equation should be:
(100x + 10y + z) - (100z + 10y + x) = 590 + x
Remove the brackets and combine like terms
100x - x + 10y - 10y - 100z + z = 590 + x
99x - 99z = 590 + x
we know that the right side also has to be divisible by 99, (99*6=594)
x = 4