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Pearl writes down seven consecutive integers, and adds them up.  The sum of the integers is euqal to 14 times the largest of the seven integers.  What is the smallest integer that Pearl wrote down?

 Jul 6, 2022
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(n- 3)  +( n -2) + (n - 1)  + ( n ) +  (n+1) + ( n + 2) + (n + 3)  =   14 (n + 3)

 

7n = 14 (n + 3)     divide through by 7

 

n = 2 ( n + 3)

 

n = 2n + 6

 

n  -2n = 6

 

-n = 6


n = -6

 

The smallest integer  is   -6 - 3 =  -9

 

 

cool cool cool

 Jul 6, 2022

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