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?
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.