SOLUTION: Split 159 into three numbers such that the second is thrice the first and the third is 9 less than four times the first. What are the numbers?

Question 1119577: Split 159 into three numbers such that the second is thrice the first and the third is 9 less than four times the first. What are the numbers?
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
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.

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