SOLUTION: Four numbers add up to 95. The second number is twice the first number, the third number is three times the first number, and the forth number is 25 more than the first number. Wha

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Question 877045: Four numbers add up to 95. The second number is twice the first number, the third number is three times the first number, and the forth number is 25 more than the first number. What are the four numbers?
Answer by Edwin McCravy(20064) About Me  (Show Source):
You can put this solution on YOUR website!
1st number = w
2nd number = x
3rd number = y
4th number = z

Four numbers add up to 95.

w +  x + y + z = 95

the second number is twice the first number 

x = 2w

the third number is three times the first number 

y = 3w 

the fourth number is 25 more than the first number 

z = w+25

Rearrange the terms and put them in a system of equations
of 4 equations in 4 unknowns

 w +  x + y + z = 95
2w -  x         =  0
3w      - y     =  0
-w          + z = 25    

You can use elimination if you like.
I used matrices with a TI-84.

I won't tell you all the answers.  
I'll only tell you that the 4th number is 35. 

Edwin