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The number 21 is the sum of two consecutive integers 10 and 11. What is the largest number of positive, consecutive integers whose sum is 21?

 Apr 29, 2018
 #1
avatar+3994 
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20+1?

smileysmiley

 Apr 29, 2018
 #2
avatar+972 
+1

The problem asks for consecutive intergers. 

 

10 + 11 = 21

 

The largest posible number of positve, consecutive intergers must start with 1, since it is the smallest positive integer.

 

1 + 2 + 3 + 4 + 5 + 6 = 21

 

This is the largest amount of consecutive integers. 

 

6 is your answer. 

 

I hope this helped,

 

Gavin.

 Apr 29, 2018

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