SOLUTION: The sum of three numbers is 137. The second number is 4 more than two times the first number. The third number is 5 less than three times the first number. Find the three numbers.

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: The sum of three numbers is 137. The second number is 4 more than two times the first number. The third number is 5 less than three times the first number. Find the three numbers.       Log On


   

Question 668424: The sum of three numbers is 137. The second number is 4 more than two times the first number. The third number is 5 less than three times the first number. Find the three numbers.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

The sum of three numbershighlight%28x%29, highlight%28y%29,&highlight%28z%29is 137.

The second numberhighlight%28y%29 is 4 more than two times the first numberhighlight%28x%29. 

The third numberhighlight%28z%29 is 5 less than three times the first numberhighlight%28x%29.

Translate into an equation: 

  x +   y    +  z     = 137

  x + 2x%2B4 + 3x-5 = 137

      6x = 138

       x = 23

three numbers are:  23, 50, 64

and...

23+%2B+50+%2B+64+=+137