[tex]40 * (a,b+b,a)= 40 ( \frac{ab}{10} + \frac{ba}{10} )[/tex]
[tex]4 ( ab+ba) = 4( 10a+b+10b+a)=4(11a+11b)=44(a+b)[/tex]
[tex] 2^{2} * 11 * (a+b)[/tex]
[tex] 2^{2} [/tex]=patrat perfect => [tex]a+b=11[/tex]
Numerele pot fi:
a) a=3, b=8 => ab=39
b) a=5, b=6 => ab=56
