Two sentries were on duty outside a barracks. One faced up the road to watch for anyone approaching from the North. The other looked down the road to see if anyone approached from the South. Suddenly one of them said to the other, “Why are you smiling?” How did he know that his companion was smiling?

Answer

Although the guards were looking in opposite directions, they were not back to back. They were facing each other.

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    110 months ago

    They were facing each other. The one looking south was north of the one looking north, who he was south of.