Solving an algorithm math problem

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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?

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2 Answers

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

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

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