Pearl writes down seven consecutive integers and adds them up. The sum of the integers is equal to 7 times the largest of the seven integers. What is the smallest integer that Pearl wrote down?
The answer is -28.
Change your " 7 times the largest of the seven integers" to 6 times
n + n + 1 + n + 2 + n + 3 + n + 4 + n + 5 + n + 6 =6[n + 6]
7n + 21 =6n + 36
7n - 6n =36 - 21
n = 15 - the smallest of the 7 integers.
