Pearl writes down seven consecutive integers, and adds them up. The sum of the integers is equal to 21*4 times the largest of the seven integers. What is the smallest integer that Pearl wrote down?
+4 set the integers equal to x, x+1, x+2, x+3, x+4, x+5, x+6
sum of all integers = 7x+21
21*4 = 84
7x + 21 = 84(x+6)
7x + 21 = 84x + 504
-483 = 77x
x is not an integer, thus there is no solution. However, as I interpreted * to signal multiplication, but the word "times" is written out immediately afterwards, I believe the question is incorrectly formatted.
