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Amos counts out loud by 8 beginning with 0. Sarah counts out loud by 7 also beginning with 0. Between 2000 and 3000 inclusive, how many of the numbers do both Sarah and Amos say out loud?

 Jul 20, 2022
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LCM of 7 , 8  =  56

 

The first number that they say together =  2016

The last number  that the say together = 2968

 

Number of integers that both say out loud =  [ 2968 - 2016 ]  / 56  +  1  =  952/56 + 1 =  17 + 1   =  18

 

 

cool cool cool

 Jul 20, 2022

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