## Rounding Machine

#### Problem

A particular number machine works as follows.

E.g. 3.4 6.8 6 or 7.9 15.8 15

A different number machine does the following.

E.g. 3.4 3 6 or 7.9 7 14

Notice that 3.4 came out as 6 from both machines, whereas 7.9 came out differently. What must be special about a number for the same value to come out of each machine?

Problem ID: 97 (Jan 2003) Difficulty: 2 Star