SOLUTION: the units digit of a two digit number is double the tens digit. if the digit are reversed the new number is 27 more than the original number

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Question 1193469: the units digit of a two digit number is double the tens digit. if the digit are reversed the new number is 27 more than the original number
Found 4 solutions by josgarithmetic, Alan3354, ikleyn, Edwin McCravy:
Answer by josgarithmetic(39620)   (Show Source): You can put this solution on YOUR website!
The number,

Reversing the digits,




The description does not work.
(Maybe I missed something.)
(***mistake was made in "reversing the digits"***)
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
the units digit of a two digit number is double the tens digit. if the digit are reversed the new number is 27 more than the original number
--------------
Reversing the digits of a 2 digit number changes the value by 9 times the difference between the digits.
-----
U = 2T
U = T+3
---
2T = T+3
T = 3
U = 6
---> 36 AND 63
Answer by ikleyn(52800)   (Show Source): You can put this solution on YOUR website!
.
The units digit of a two digit number is double the tens digit.
if the digit are reversed the new number is 27 more than the original number
~~~~~~~~~~~~~~~


            The solution by @josgarithmetic is incorrect starting from its second line to the end.
            I came to bring a correct solution. 


The number is  10t+2t = 12t.


Reversing the digits, 10*(2t) + t = 21t.


21t - 12t = 27

9t = 27

t = 27/9 = 3.


ANSWER.  The number is 36.


CHECK.  The reversed number is 63, and it is  63 - 36 = 27  units greater than the original number.   ! correct !

Solved.

-------------

On reversing number problems see the lesson
    - Word problems on reversing digits of numbers
in this site.

Find there many other similar solved problems with full explanations.

From this lesson,  learn on how to solve such problems - - - once and for all.



Answer by Edwin McCravy(20059)   (Show Source): You can put this solution on YOUR website!
The first sentence tells you it's either 12,24,36, or 48
Its reverse would then be                21,42,63, or 84
The only one that differs from its reverse by 27 is 36, (since
63-36=27), so the answer is 36.

With a little practice you can do problems like this in your
head or just by jotting down a tiny bit, and you'll have the 
answer before you even begin to solve it. 

Edwin
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