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Impartiti numarul 420 in parti invers proportionale cu 2,5 si 6

Răspuns :

2x = 5y = 6z = >k
x = k/2
y = k/5
z = k/6

k/2 + k/5 + k/6 = 420  /x30
15k + 6k + 5k = 12600
26k = 12600
k = 12600 : 26
k = 12600/26 = 6300/13

x = 6300/13 / 2 = 3150/13
y = 6300/13 / 5 = 1260/13
z = 6300/13 / 6 = 1050/13

3150/13 + 1260/13 + 1050/13 =  5460/13 = 420