Question

Diferenta a doua numere naturale este 32 . Aflati cele doua numere stiind ca impartind dublul primului numar la cel de-al doilea numar obtinem catul 8 si restul 2.

Answer 1

$a-b=32 \\\\ 2a:b=8 \ rest \ 2 \\\\ 2a=8b+2 \ |:2 \\\\ \boxed{a=4b+1} \\\\ 4b+1-b=32 \\\\ 3b=32-1 \\\\ 3b=31 \\\\ \boxed{\boxed{b=\frac{31}{3}}} \\\\ a=4*\frac{31}{3}+1^{(3} \\\\ a= \frac{124}{3}+\frac{3}{3} \\\\ \boxed{\boxed{a=\frac{127}{3}}}$

Answer 2

a _ b= 32
2 x (a : b ) = 8 +2
2 x (a : b ) = 10
a : b = 10 : 2
a : b = 5  rezulta ca  a = 5b
5b -b = 32
4b =32
b = 32 : 4
b = 8
 a = 5 x 8
a = 40
proba : a - b= 32
              40 - 8 = 32
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