SOLUTION: The sum of the digits of a two digit number is 15. If the digits are reversed, the new number is 27 less than the original number. Find the orginal #

Question 39949This question is from textbook alegbra 1
: The sum of the digits of a two digit number is 15. If the digits are reversed, the new number is 27 less than the original number. Find the orginal # This question is from textbook alegbra 1

Answer by Paul(988) (Show Source): You can put this solution on YOUR website!
Let the 10 digit number be x
Let the one digit number be y
x+y=15
y=15-x (SUBSITUTION)
Original number:
10x+y
Reversed number:
10y+x
EQUATION:
10y+x=10x+y-27
Subsitute for y:
10(15-x)+x=10x+15-x-27
150-9x=9x-12
18x=162
x=9
y=15-9
y=6
Hence, the 10 digit number is 9 and the one digit number is 6, and the whole number is 96.
Paul.
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