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Impartiti numarul 640 in parti direct proportionale cu numerele 3,4,9

Răspuns :

Fie a, b, c numerele
a+b+c=640
a/3=b/4=c/9=(a+b+c)/16(e o formula)
12a/36=9b/36=4c/36
12a=9b=4c
4a+4b+4c=4a+13b=640*4=2560
12a+39b=3*2560=7680
48b=7680
b=160
12a=1440
a=120
4c=1440
c=360
Numerele sunt 120, 160, 360