Răspuns:
a=15
b=8
Explicație pas cu pas:
a+b=15
(a+b)/(a-b)= 3 rest 2
Deci a+b=3*(a-b)+2
23=3*(a-b)+2 | -2
21=3*(a-b) |/3
7=a-b
Deci:
[tex]\left \{ {{a+b=23} \atop {a-b=7}} \right. <=>\left \{ {{a=7+b} \atop {7+b+b=23}} \right. <=>\left \{ {{a=7+b} \atop {2b=23-7=16}} \right. <=>\left \{ {{a=7+8=15} \atop {b-16/2=8}} \right.[/tex]
