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Question 270160: The ones digit of a number is 3 less than its hundred digit and the tens digit is 1 more than the ones digit. If you reverse the number, it will be a two digit number, and then subtract it from the original number, the difference will be 297. What is the number?
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! The ones digit of a number is 3 less than its hundred digit and the tens digit is 1 more than the ones digit.
If you reverse the number, it will be a two digit number, and then subtract it from the original number, the difference will be 297.
What is the number?
:
A three digit number: 100x + 10y + z
:
"The ones digit of a number is 3 less than its hundred digit"
z = x-3
:
" the tens digit is 1 more than the ones digit."
y = z+1
:
If you reverse the number, it will be a two digit number, and then subtract it from the original number, the difference will be 297."
;
What is the number?
:
In order for the reversed number to a two digit number, z = 0
then
x = 3, y = 1
:
Original number 310, reversed number 013
310 - 13 = 297
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