## $$10^x+10^y+10^z=n,$$ where $$x, y,$$ and $$z$$ are positive integers. Which of the following could be the total number

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### $$10^x+10^y+10^z=n,$$ where $$x, y,$$ and $$z$$ are positive integers. Which of the following could be the total number

by Gmat_mission » Thu Jul 22, 2021 11:39 am

00:00

A

B

C

D

E

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$$10^x+10^y+10^z=n,$$ where $$x, y,$$ and $$z$$ are positive integers. Which of the following could be the total number of zeroes, to the left of the decimal point, contained in $$n?$$

I. $$x + y$$
II. $$y - z$$
III. $$z$$

A. III only
B. I and II only
C. I and III only
D. II and III only
E. I, II, and III