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Calculati pe x,y,zsi pe a,b,c stiind ca:x*y*z=24. X*Y=6. Y*Z=8. A*B*C=63. A*B=7. B*C=63


Răspuns :

X x Y x Z = 24
Z = 24 : 6 = 4
X = 24 : 8 = 3
Y = 24 : 4 : 3 = 2

A x B x C = 63
A x B = 7
C = 63 : 7 = 9
B x C = 63
A = 63 : 63 = 1
B = 63 + 9 = 7 sau B = 63 : 1 : 9 = 7
x•y•z=24 x•y=6 z=24:6 z=4 y•z=8=>y•4=8=>y=8:4=>y=2 x•y•z=24=>x•2•4=24=>x•2=24:4=>x•2=6=>x=6:2=>x=3 x=3;y=2;z=4=>3•2•4=6•4=24