X:y:z=2:3:5且x+2y=10求X+y+2z的值
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X:y:z=2:3:5且x+2y=10求X+y+2z的值
令x=2k,y=3k,z=5k
x+2y
=2k+2*3k
=2k+6k
=8k
x+2y=10
8k=10
4k=5
k=5/4
所以
x=2k=2*5/4=10/4
y=3k=3*5/4=15/4
z=5k=5*5/4=25/4
x+y+2z
=10/4+15/4+2*25/4
=10/4+15/4+50/4
=(10+15+50)/4
=75/4
x+2y
=2k+2*3k
=2k+6k
=8k
x+2y=10
8k=10
4k=5
k=5/4
所以
x=2k=2*5/4=10/4
y=3k=3*5/4=15/4
z=5k=5*5/4=25/4
x+y+2z
=10/4+15/4+2*25/4
=10/4+15/4+50/4
=(10+15+50)/4
=75/4
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