Question 978604
average=total/n
n*average=total
5*average=total
lowest number is x
greatest number is x+4

One can add the numbers from x to x+5.  One may also multiply the middle number, x+2, by 5.  The middle number is 12, and 12*5=60.

x+x+1+x+2+x+3+x+4=60
 
5x+10=60
x=10  SMALLEST
x+4=14  LARGEST   THEIR SUM (WHICH IS WHAT IS DESIRED) IS 24.

10+11+12+13+14=60.