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

Answer:
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