SOLUTION: The first of three numbers exceeds twice the second number by 4, while the third number is twice the first. If the sum of the three numbers is 54, find the numbers. please help

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: The first of three numbers exceeds twice the second number by 4, while the third number is twice the first. If the sum of the three numbers is 54, find the numbers. please help      Log On


   



Question 666555: The first of three numbers exceeds twice the second number by 4, while the third number is twice the first. If the sum of the three numbers is 54, find the numbers.
please help me.

Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
second number be x
first number = 2x+4
third number =2(2x+4)
sum =54
x+2x+4+2(2x+4)=54
x+2x+4+4x+8=54
7x+12=54
7x=54-12
7x=42
x=6
First number = 6
second number = 2x+4 ------> 2*6+4 = 16
Third number = 2*16=32
6,16,32
add them up you get 54