# 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?

Algebra ->  -> 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?      Log On

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 Click here to see ALL problems on Expressions-with-variables 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(60771)   (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? ---------------------------- Equation: x + y + z = 123 y = 2x-9 z = 3x+6 ------------------- 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 =============================== Cheers, Stan H.