Question 186884
Let x, x+1 & x+2 be the numbers.
x/4+(x+1)/5+5=(x+2)/7
x/4+(x+1)/5-(x+2)/7+5=0
[35x+28(x+1)-20(x+2)+700]/140=0
[35x+28x+28-20x-40+700]/140=0
(35x+28x-20x+688)/140=5
(43x+688)/140=0
43x+688=0
43x=-688
x=-688/43
x=-16 for the lowest number.
-16+1=15 for the middle number 
-16+2=14 for the largest number. 
-16/4+(-15/5)+5=-14/7
-4-3+5=-2
-7+5=-2
-2=-2