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Sherman goes golfing every 6^\text{th}6 th 6, start superscript, t, h, end superscript day and Brad goes golfing every 7^\text{th}7 th 7, start superscript, t, h, end superscript day. If Sherman and Brad both went golfing today, how many days until they will go golfing on the same day again?

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pedrocarratore

Answer:

42 days

Step-by-step explanation:

To solve this problem one must find the Least Common Multiple (LCM) between the days it takes for both Sherman and Brad to go golfing (6 and 7)

Since 7 is a prime number the LCM, in this case, is the product of 7 by the other number:

[tex]LCM(6,7) = 6*7\\LCM(6,7) = 42[/tex]

It will be 42 days until Sherman and Brad will go golfing on the same day again.

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