SOLUTION: The sum of the digits of a two digit no. is 12. If the digits are reversed, the new no. is 15 more than twice the original no. Find the orginal no.

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Question 48862This question is from textbook albrega II
: The sum of the digits of a two digit no. is 12. If the digits are reversed, the new no. is 15 more than twice the original no. Find the orginal no.
This question is from textbook albrega II

Answer by Paul(988) About Me  (Show Source):
You can put this solution on YOUR website!
\let x be the 10 digit and let y be the one digit
original number = 10x+y
reversed = 10y+x
x+y=12
y=12-x (subsitution)

10y+x=15+10x+y
10(12-x)+x=10x+12-x
120-10x+x-9x=12
-18x=-108
x=6
y=12-6
y=6
Hence, the number is 66
Paul.