Question

If x y z are positive integers and 3x = 4y = 7z, then the least possible value of x + y + z is

Answer 1

The least possible value of x+y+z is 61.
this is how we find this,
if we find the LCM of 3,4 and 7 we get 84
= 3 x (4x7) = 4x(3x7) = 7x (3x4) 
x+y+z = (4x7) + (3x7) + (3x4) 
=28 +21+12 
=61