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

Question

Mathematics

Braeden Hester

5 April, 15:46

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

+4

Answers (1)

Know the Answer?

Kira Huff · 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