Question 1119577
split 159 into 3 numbers.


the second is 3 times the first and the third is 9 less than 4 times the first.


let x represent the first number.


the second is 3 times the first is represented by 3x.


the third is 9 less than 4 times the first is represented by 4x - 9.


the three numbers are x, 3x, and 4x - 9.


add all three together to get 159 is represented by x + 3x +_4x - 9 = 159.


combine like terms to get 8x - 9 = 159.


add 9 to both sides of this equation to get 8x = 168.


divide both sides of this equation by 8 to get x = 21.


the first number is 21.
the second number is 3 * 21 = 63.
the third number is 4 * 21 - 9 = 75.


add the 3 numbers together to get 21 + 63 + 75 = 159


solution looks good.


the numbers are 21, 63, 75.