+1911 Pearl writes down seven consecutive integers, and adds them up. The sum of the integers is equal to $214$ times the largest of the seven integers. What is the smallest integer that Pearl wrote down?
+37159 The integers can be represented as
x x+1 x+2 x+3 x+4 x+5 x+6 summed = 7x + 21 and this equals 214 (x+6)
7x+21 = 214 (x+6)
7x + 21 = 214 x + 1284
- 1263 = 207 x
x = 6 7/69 <===== did you post your question with the correct numbers ?
