If x,y and z are positive integers and 3x=4y=7z, then the least possible value of x+y+z is
A)33
B)40
C)49
D)61
E)84
D
A)33
B)40
C)49
D)61
E)84
D
3x = 4y = 7z
The least value of x,y,z will be the inetgers which when multiplied by each gives us the lcm
lcm = 84
3 * 28 = 4 * 21 = 7 * 12
x+y+z = 28+21+12 = 61
Choose D)
