SOLUTION: The ratio of three numbers is 5:2:7. If the difference of the smallest and biggest is 54, what is the sum of the three numbers?

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: The ratio of three numbers is 5:2:7. If the difference of the smallest and biggest is 54, what is the sum of the three numbers?      Log On


   



Question 1008052: The ratio of three numbers is 5:2:7. If the difference of the smallest and biggest is 54, what is the sum of the three numbers?
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
We can write this same ratio as
5x:2x:7x
Thus the difference between the largest and the smallest is
7x - 2x = 54
5x = 54
x = 10.8
Thus the numbers must be
54 : 21.6 : 75.6
Add them up to get
151.2