If point M lies between C and G and CM = x, MG = x+12, and CG= 4x+6, then the value of x is 3, MG=15 and CG=18.
Given that point M lies between C and G and CM = x, MG = x+12, and CG= 4x+6.
We are required to find the value of x and the length of MG and CG.
Because the point M lies between C and G so, CM+MG=CG.
Putting the given expressions of CM, MG and CG in the above equation.
x+x+12=4x+6
2x+12=4x+6
6=2x
x=3
Putting the value of x in MG=x+12
MG=3+12=15
Putting the value of x in CG=4x+6
CG=4*3+6
=12+6
=18
Hence if point M lies between C and G and CM = x, MG = x+12, and CG= 4x+6, then the value of x is 3, MG=15 and CG=18.
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