Răspuns:
Explicație pas cu pas:
a+b+c+d+e = 1680
a/2 = b/7 = c/12 => a = 2c/12 = c/6 ; b = 7c/12
3c = 4d = 10e => d = 3c/4 ; e = 3c/10
⁵⁾2c/12 + ⁵⁾7c/12 + ⁶⁰⁾c + ¹⁵⁾3c/4 + ⁶⁾3c/10 = ⁶⁰⁾1680 =>
10c+35c+60c+45c+18c = 60·1680 =>
168c = 60·1680 I:168 =>
c = 60·10 => c = 600
a = 600/6 => a = 100
b = 7·600/12 = 4200/12 = > b = 350
d = 3·600/4 = 1800/4 => d = 450
e = 3·600/10 = 3·60 => e = 180
100+350+600+450+180 = 1680 , corect
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