Question 1061522
.
<U>Answer</U>. 24. The number is 24.


<U>Solution</U>


<pre>
From the second condition, you momentarily have 


(10u+t) - (10t+u) = 18,   or

9u - 9t = 18,   or

u - t = 2.


Hence, the two-digit numbers to check are 13, 24, 35, . . . (and it is clear that the numbers are not so big). 
In addition, only few of them are multiples of 3.


Then you find the answer 24 by trial and error much faster than by solving the quadratic equation.
</pre>

For many other problems on reversing digits in 2-digit integers see the lesson

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=http://www.algebra.com/algebra/homework/word/misc/Word-problems-on-interchanging-digits-of-numbers.lesson>Word problems on interchanging digits of numbers</A>

in this site.


Also, you have this free of charge online textbook in ALGEBRA-I in this site

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson>ALGEBRA-I - YOUR ONLINE TEXTBOOK</A>.


The referred lessons are the part of this online textbook under the topic "<U>Miscellaneous word problems</U>".