SOLUTION: Angelo, Brandon, and Carl work in the same office. Angelo's age is 4 years more than twice Carl's age. Brandon is 5 years younger than Carl. The average of the 3 ages is 41. Find t

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Question 119612: Angelo, Brandon, and Carl work in the same office. Angelo's age is 4 years more than twice Carl's age. Brandon is 5 years younger than Carl. The average of the 3 ages is 41. Find the age of each of the men.
Found 2 solutions by stanbon, ankor@dixie-net.com:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Angelo, Brandon, and Carl work in the same office. Angelo's age is 4 years more than twice Carl's age. Brandon is 5 years younger than Carl. The average of the 3 ages is 41. Find the age of each of the men.
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Let Angelo be a; Brandon is b ; Carl is c
EQUATION:
a = 2c+4
b = c-5
(1/3)(a+b+c) = 41
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Rearrange:
a + 0 - 2c = 4
0 + b -c --5
a + b + c = 123
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Using the Matrix function of a TI calculator I get:
a= 66
b= 26
c= 31
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Cheers,
Stan H.

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):