Question

Three numbers have a ratio of 2: 3: 4. If the largest number if their sum is 24 what is the sum of the three numbers?

Answer 1

Explanation:

Let r be a multiplier. Then 2r + 3r + 4r = 24, or

9r = 24, or r = 24/9 = 8/3

The three numbers are then (8/3)(2), (8/3)(3), (8/3)(4), and their sum is

(8/3)(2 + 3 + 4) = (8/3)(9) = 24. But the problem tells us that! Please check the wording of your question; something's not quite right there!