Question

If x, y, and z are positive numbers and 2x=3y=4z, then the value of x+y+z is how many times the value of x?

Answer 1

a. 13/6
b. 17/6
c. 13/2
d. 17/2
e. cannot be determined

Answer 2

from 2x=3y=4z, we get y= (2/3)x and z=(1/2)x
so x+y+z=x+(2/3)x+(1/2)x
=x(1+2/3+1/2)
=x(3/2+2/3)
=x(13/6)