Răspuns :
a=b+72
(a+b):(a-b)=5 rest 2
(b+72+b):(b+72-b)=5 rest 2
(2b+72):72=5 rest 2
2b+72=72*5+2
2b+72=362
2b=362-72
2b=290
b=145
a=145+72
a=217
a=b+72 ; (a+b):(a-b)=catul 5 rest 2 ⇒a+b=5(a-b)+2, a+b=5a-5b+2, 4a-6b=-2, inlocuim pe a din prima relatie in cea de a doua
4(b+72)-6b=-2, 4b+288-6b=-2, 2b=288+2=290, b=290/2=145, a=145+72=217
