已知:a/2=b/3=c/5 且3a+2b-c=14,则a+b+c的值为_.

问题描述:

已知:

a
2
=
b
3
=
c
5
 且3a+2b-c=14,则a+b+c的值为______.

a
2
=
b
3
=
c
5
=k,
∴a=2k,b=3k,c=5k,
∵3a+2b-c=14,
∴代入得:6k+6k-5k=14,
k=2,
∴a=4,b=6,c=10,
∴a+b+c=4+6+10=20,
故答案为:20.