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Beginning with an integer $n,$ Jake goes through the following steps: $\bullet$ 1. Take the reciprocal of the starting number. $\bullet$ 2. Double the number obtained in Step 1. $\bullet$ 3. Take the reciprocal of the number obtained in Step 2. At the end of the third step, Jake ends up with the number $16.$ What number did Jake start with?

 Jan 16, 2020
 #1
avatar+107405 
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Afer step 1  we have  :  1/n

 

After step 2 we have :  2/n

 

After step 3 we have that

 

n/ 2  = 16       multiply both sides  by 2

 

n  = 32 =  the starting integer   

 

cool cool cool

 Jan 16, 2020

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