Asked by Anonymous

JUstin and Hannah Both get jobs at McBurgers. Justin started on Sunday and gets every 9th day off. Hannah started the very next day and gets every 6 th day off. Justin would like to ask Hannah out on a date when they both have the day off from work. How many days will Justin have to wait before he can schedule his date

Answers

Answered by MathMate
Justin starts on a Sunday, and gets every ninth day off.
So his days off, counting from Sunday, are always divisible by 9, therefore divisible by 3.

Hannah gets a day off every sixth day from Monday, i.e. every 6n+1 days from Sunday, or <i>never</i> divisible by 3.

Too bad for Justin, he will have to ask her out after work!

(See how mathematics can be important for social relations!)
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