+0  
 
+1
316
3
avatar+934 

Answer: 30

 Jul 24, 2019
 #1
avatar+109725 
+3

This is an interesting little question.   :)

 

Zep, the answer is 30 becasue the only numbers that work are 25 and 36.

 

\((The\;\;number\;\; is \;\;10a+b\\ where\\ 10a+b=\frac{ab}{\frac{a}{b}}\\ 10a+b=b^2\\ 10a=b^2-b\\ 10a=b(b-1)\\ \)

Also

0

 

 

The only numbers where b(b-1) is a multiple of 10 is  b=5 and b=6

 

 

You can take it from there. 

 

 

I've redone some of the latex, I hope it works this time.  I see Heueka has used Latex sucessfully since I last posted.

 Jul 24, 2019
edited by Melody  Jul 24, 2019
 #2
avatar+109725 
+2

How annoying, now LaTex is not displaying properly ... plus it has  been truncated       sad

Melody  Jul 24, 2019
edited by Melody  Jul 24, 2019
 #3
avatar+934 
+1

Thanks for the help!!!

dgfgrafgdfge111  Jul 28, 2019
edited by dgfgrafgdfge111  Jul 28, 2019

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