If x, y, and z are positive integers and 2x = 3y = 4z, then the least possible value of x + y + z is	Pick one
A) 40
B) 50
C) 60
D) 70
E) 31
given 2x=3y=5z   x+y+z in terms of x   = x+(2x/3)+(2x/5) = 31x/15   now checking with each of the answers and see which value gives a minimum integer value.   A x = 15/31*40 , not an integer   B,C,D can be ruled out similarly.   31 is minimum value as x = 15*31/31= 
<gadget id="calculator">15*31/31</gadget>
<output>15</output>
15   Answer is 31
<result>E</result>
If x, y, and z are positive integers and 2x = 3y = 4z, then the least possible value of x + y + z is