SOLUTION: If the tens digit x and the unit digit y of a positive integer n are reversed, the resulting integer 9 is more than n, what is y in terms of x? (A)10-x (B)9-x (C)x+9 (D)x-1

Question 339427: If the tens digit x and the unit digit y of a positive integer n are reversed, the resulting integer 9 is more than n, what is y in terms of x?
(A)10-x
(B)9-x
(C)x+9
(D)x-1
(E)x+1
The answer is E, x+1 but I am not getting it. Could you please explain.

Thanks
Answer by Edwin McCravy(20059) (Show Source): You can put this solution on YOUR website!
If the tens digit x and the unit digit y of a positive integer n are reversed, the resulting integer 9 is more than n, what is y in terms of x?


The given positive integer n = 10x + y

The resulting positive integer when the integers are reversed is 10y + x

(10y + x) = (10x + y) + 9

  10y + x = 10x + y + 9

Add -y - x to both sides

   9y = 9x + 9

    y = x + 1

Edwin

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