Pearl writes down seven consecutive integers, and adds them up. The sum of the integers is euqal to 14 times the largest of the seven integers. What is the smallest integer that Pearl wrote down?
+38 answer:-9
work:
for this, we are going to use one variable :x this is because if we do something like x,x+1,x+2,x+3 this will simulate consecutive integers.
x+(x+1)+(x+2)+(x+3)+(x+4)+(x+5)+(X+6)=14(x+6)
Now we add all the x's and the numbers together.
7x+21=14(x+6)
now we multiply on the other side.
7x+21=14x+84
Now we will subtract 21 and 14x from both sides
-7x=63
now we divide both numbers by -7 to get our answer...
x=-9
