+769 Pearl writes down seven consecutive integers, and adds them up. The sum of the integers is equal to 28/9 times the largest of the seven integers. What is the smallest integer that Pearl wrote down?
+1277
Pearl writes down seven consecutive integers, and adds them up. The sum of the integers is equal to 28/9 times the largest of the seven integers. What is the smallest integer that Pearl wrote down?
(x + 6) 28
(x) + (x+1) + (x+2) + (x+3) + (x+4) + (x+5) + (x+6) = ––––– • –––
1 9
28x + 168
7x + 21 = –––––––––
9
63x + 189 = 28x + 168
35x = – 21
– 21 3
x = –––– = – –––
35 5
The solution is not an integer, so the
problem, as written, is not satisfied. 
Assuming the problem can be solved,
I hope someone will show me my error.
.
