AMO 2027 Grades 4-5 SET 1 - Self-study Question 12

In the addition shown, each of X, Y and Z represents a digit. What is the value of X + Y + Z?

$$\begin{array}{rrrr}&X&Y&Z\\&X&Y&Z\\+&&Y&Z\\\hline 1&6&7&5\end{array}$$