SOLUTION: Three numbers are in the ratio of 4:5:6. If the sum of the largest and the smallest equals the sum of the third and 55, find the numbers

Question 1106200: Three numbers are in the ratio of 4:5:6. If the sum of the largest and the smallest equals the sum of the third and 55, find the numbers

Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
As posted, I interpret "the third" to mean the third number in a list of numbers,
where the first, second, and third are in the ratio 4:5:6 respectively.
That will not yield 3 integers, but fractions are numbers too.

Let the numbers be , , and .
That makes sure that they are in the ratio of 4:5:6.
is the sum of the largest and the smallest.
is the sum of the third and 55.
So, the equation to solve is

is the smallest number
From we get

, and
.
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