SOLUTION: The sum of three numbers is 180. two of the numbers are the same,and each of them is one-third of the greatest number . what is the least number ? A 30 b 36 C 45 D 72

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Question 353574: The sum of three numbers is 180. two of the numbers are the same,and each of them is one-third of the greatest number . what is the least number ?
A 30 b 36 C 45 D 72

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
Hi
Let n be the greatest of the numbers
.
question states
n/3 + n/3 + n= 180
.
simplify and solve
n + n + 3n = 540
5n = 540
n = 108
.
108/3 = 36 (the amount of each of two smaller numbers)
answer would be b
.
check your answer
36 + 36 = 108 = 180