Can someone help me solve this because i don't know how my teacher expects us to solve this

Step-by-step explanation:

The minimum possible value of  

x + y + z =61

Explanation:

Note that any two of  

3 ,  4  and  7  have no common factor greater than  1 .  

Hence the smallest positive integer values of  

x ,  y ,  z  correspond to:

3 x = 4 y = 7 z = 3 ⋅ 4 ⋅ 7 = 84

=x = 28 y = 21z = 12

So:

x + y + z = 28 + 21 = 12 =61