Răspuns:
a/(1/3)=b/(1/2)=k
a=k/3
b=k/2
b-a=17
³⁾k/2-²⁾k/3=⁶⁾17
3k-2k=102
k=102
a=102/3=34
b=102/2=51
sau
a/b = 2/3
3a=2b
b-a=17=>a=b-17
3b-51=2b=>b=51
a = 51-17=34
{ a ; b } i.p { 3 ; 2 }
b - a = 17
3 a = 2 b = k
a = k / 3
b = k / 2
k / 2 - k / 3 = 17
3 k / 6 - 2 k / 6 = 17
k / 6 = 17
k = 17 × 6
k = 102
a = 102 / 3 = 34
b = 102 / 2 = 51