SOLUTION: I am the only one in class who does not understand these: Twice the tens digit of a positive, two-digit integer is 1 less than the ones digit. Reversing the digits increases the nu

Question 741882: I am the only one in class who does not understand these: Twice the tens digit of a positive, two-digit integer is 1 less than the ones digit. Reversing the digits increases the number by 45. What is the number? Can you please help me get started.
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Twice the tens digit of a positive, two-digit integer is 1 less than the ones digit. Reversing the digits increases the number by 45. What is the number?
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t = 10's digit
u = units
----
2t + 1 = u
10t + u + 45 = 10u + t
---
2 eqns in 2 variables
2t + 1 = u --> u = 2t + 1
10t + u + 45 = 10u + t --> 9t + 45 = 9u --> t + 5 = u
-------------
u = 2t + 1
t + 5 = u
---
t + 5 = 2t + 1
t = 4
----
u = 9
--> 49

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