Răspuns:
a = 15 ; b = 18 ; c = 30 ; d = 80 ; e = 120
Explicație pas cu pas:
a/5 = b/6 = c/10
c/3 = d/8 = e/12
a+b+c+d+e = 263
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a = 5c/10 = c/2
b = 6c/10 = 3c/5
d = 8c/3
e = 12c/3 = 4c
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¹⁵⁾c/2 + ⁶⁾3c/5 + ³⁰⁾c + ¹⁰⁾8c/3 + ³⁰⁾4c = ³⁰⁾263 =>
15c+18c+30c+80c+120c = 7890 =>
263c = 7890 => c = 7890/263 => c = 30
a = c/2 = 30/2 => a = 15
b = 3c/5 = 3·30/5 = 3·6 => b = 18
d = 8c/3 = 8·30/3 = 8·10 => d = 80
e = 4c = 4·30 => e = 120
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a+b+c+d+e = 15+18+30+80+120 = 263 = corect
