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?
(n−3)+(n−2)+(n−1)+n+(n+1)+(n+2)+(n+3)=(28/9)(n+3)7n=(28/9)(n+3)7n=(28/9)n+28/363n=28n+8463n−28n=8435n=84n=84/35=12/5(n−3)=(12/5−3)=−3/5
This isn't an integer, but
the answer is −3/5
Thanks! :)