Solving an algorithm math problem

Question

if x, y and z each represent a different digit from 0 to 9, what is the value of (x)(y)(z)?

 4z
 27
+x5
____

y14

I answered it like this:

 42
 27
+45
____

114

So x=4, y=1 and z=2 for a total of 7. But I got it wrong because the correct answer is 8. What am I doing wrong?

Answer 1

You computed the sum $x+y+z$ where the problem asked for the product $x\times y\times z$.

Answer 2

(x)(y)(z) means multiplication of the three, and (4)(1)(2) is 8.