SOLUTION: the tens digit of a two digit is three more than the units digit if the digits are revered the new number is 54 less than the original number. find the original number

Question 82318: the tens digit of a two digit is three more than the units digit if the digits are revered the new number is 54 less than the original number. find the original number
Answer by checkley75(3666) (Show Source): You can put this solution on YOUR website!
x=y+3
10x+y=10y+x+54 now substitute (y+3) for x & solve for y.
10(y+3)+y=10y+(y+3)+54
10y+30+y=10y+y+3+54
11y-11y=57-30
0=27 this would indicate that every set of numbers results in a difference of not 54 but 27. Thus:
96
-69
---
27
85
-58
----
27
74
-47
---------
27
&
30
-03
---------
27

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