the sum of three numbers is 123. the second number is 9 less than two times the first number. the third number is 6 more than three times the first number. find the three number
Let the first number be x. The second number is 2x−9, and the third number is 3x+6. x + 2x−9 + 3x+6 = 123 Collect like terms: 6x − 3 = 123 Solve: 6x = 126 x = 21 Plug the x-value back in: (2 x 21) − 9 = 33 (3 x 21) + 6 = 69 The three numbers are 21, 33, and 69.
