SOLUTION: The sum of three numbers is 123. The 2nd number is 9 less than twice the first number. The third number is 6 more than three times the first number. What are the three numbers?

Question 222777: The sum of three numbers is 123. The 2nd number is 9 less than twice the first number. The third number is 6 more than three times the first number. What are the three numbers?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The sum of three numbers is 123. The 2nd number is 9 less than twice the first number. The third number is 6 more than three times the first number. What are the three numbers?
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Equation:
x + y + z = 123
y = 2x-9
z = 3x+6
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Substitute and solve for x:
x + 2x-9 + 3x+6 = 123
6x -3 = 123
6x = 126
x = 21
--------------
y = 2x-9 = 33
z = 3x+6 = 69
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Cheers,
Stan H.
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