SOLUTION: The sum of three numbers is 72 The middle number is one less than three times the smallest number. The sum of the smallest and the middle number plus ten equals the largest number.

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Question 278910: The sum of three numbers is 72 The middle number is one less than three times the smallest number. The sum of the smallest and the middle number plus ten equals the largest number. Find all three numbers.
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
>>...The sum of three numbers is 72...<<

Smallest + Middle + Largest = 72

S%2BM%2BL=72

>>...The middle number is one less than three times the smallest number...<<

Middle = 3 times Smallest minus 1.

M=3S-1

>>...The sum of the smallest and the middle number plus ten equals the largest number...<<

Smallest + Middle + 10 = Largest

S%2BM%2B10=L

So you have this system:

system%28S%2BM%2BL=72%2CM=3S-1%2CS%2BM%2B10=L%29

Can you solve that system?  If not post again asking how.

Answer: S = smallest = 8, M = middle = 23, L = largest = 41

Edwin