SOLUTION: 9) Twice the tens digit of a number increased by the units digit is 22. If the digits are reversed, the new number is 45 less than the original. 10) Three times the units digit

Algebra ->  Customizable Word Problem Solvers  -> Evaluation -> SOLUTION: 9) Twice the tens digit of a number increased by the units digit is 22. If the digits are reversed, the new number is 45 less than the original. 10) Three times the units digit      Log On

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Question 448336: 9) Twice the tens digit of a number increased by the units digit is 22. If the digits are reversed, the new number is 45 less than the original.
10) Three times the units digit is 2 less than the tens digit. If the digits are reversed, the new number is 54 less than the original.
(THANK YOU)

Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
x tens digit: y units digit
2x+y=22..........1
10y+x= 10x+y-45
9y-9x=-45
y-x=-5...........2
multiply equation (2) by 2
we get 2y-2x==-10
add this equation to (1)
3y=12
y=4
...
2x+y=22
plug y
2x+4=22
2x=18
x=9
number is 94