a:b=3:4,
b:c=2:7=4:14
∴a:b:c=3:4:14
设a=3t,则b=4t,c=14t
∵a+b+c=42
∴3t+4t+14t=42
21t=42
∴t=2
∴a=6,b=8,c=28