The sum of the digits of a two-digit number is 12. If the digits are reversed, the number is decreased by 18. What is the original number?
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OpenStudy (anonymous):
75, right?
OpenStudy (anonymous):
I'm not sure.....I can't do it......
OpenStudy (anonymous):
your number XY.
x+y = 12
(10x+y) -(10y+x) = 18
just solve this system
OpenStudy (anonymous):
|x and y| <=9
OpenStudy (anonymous):
@bmp is right
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OpenStudy (anonymous):
How do you get that? I'm really screwed up.
OpenStudy (anonymous):
your number XY.
x+y = 12
(10x+y) -(10y+x) = 18
just solve this system
OpenStudy (anonymous):
the 2 digit number (XY) can be writen like this:
10*x + y = number XY
where x y are decimal notation digits form 0...9
OpenStudy (anonymous):
GOT IT
OpenStudy (anonymous):
Just think that every base 10 number is of the form
(10^0)*a + (10^1)*b + (10^2)*c... and so on, where 10^0 is the zeroth decimal number, 10^1 is the second etc.
So a two digit number is written as
10^0*y + 10^1*x, or 10x + y, as @myko pointed out.
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