Răspuns:
a = 12 ; b = 20
Explicație pas cu pas:
3/a = 5/b => a = 3b/5 ; a,b ≠ 0
ᵇ⁾6/a + ᵃ⁾10/b = 1
6b + 10a = ab =>
⁵⁾6b + 10·3b/5 = 3b/5 ·b =>
30b+30b = 3b² <=> 60b = 3b² I: 3 =>
b² = 20b <=> b(b-20) = 0 => b = 20
a = 3·20:5 = > a = 12
3/12 = 5/20 = 1/4 ; corect
6/12 + 10/20 = 1/2 + 1/2 = 2/2 = 1 , corect
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