SOLUTION: When three numbers are added together, the result is 665. The largest number is one-third more than the sum of the other two numbers. What is the value of the largest number? A)

Question 1045513: When three numbers are added together, the result is 665. The largest number is one-third more than the sum of the other two numbers. What is the value of the largest number?
A) 95
B) 245
C) 350
D) 380
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39623) (Show Source): You can put this solution on YOUR website!

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, three unknown variables and two equations only.

The sum of is part of BOTH equations.

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, which does not match any of the choices.

Second sentence of the problem description is possibly ambiguous; you can examine the other interpretation.
Answer by MathTherapy(10555) (Show Source): You can put this solution on YOUR website!

When three numbers are added together, the result is 665. The largest number is one-third more than the sum of the other two numbers. What is the value of the largest number?
A) 95
B) 245
C) 350
D) 380

Let smallest, middle, and largest numbers be S, M, and L, respectively
Then: S + M + L = 665______S + M = 665 � L ------ eq (i)
Also, _____ -------- eq (ii)
------- Substituting 665 � L for S + M in eq (ii)
3L = 1,995 - 3L + 665 � L ------ Multiplying by LCD, 3
3L = 2,660 � 4L
3L + 4L = 2,660
7L = 2,660
L, or larger number =
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