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23 June, 22:20

Bridget has swimming lessons every fifth day and diving lessons every third day. If she had a swimming lesson and a diving lesson on May 5, when will be the next date on which she has both swimming and diving lessons?

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  1. 23 June, 23:01
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    She had both on May 5

    swimming lessons every 5th day

    5,10,15,20

    diving lessons every 3rd day ...

    3,6,9,12,15

    so they both have a common multiple of 15

    so fifteen days after May 5 = May 20 <==
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