SOLUTION: the sum of three numbers is 134. the second number is 5 more than the first, and the third number is 4more than three times the second. find the numbers.

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Question 495246: the sum of three numbers is 134. the second number is 5 more than the first, and the third number is 4more than three times the second. find the numbers.
Answer by Edwin McCravy(20064) About Me  (Show Source):
You can put this solution on YOUR website!
There are three equations for the three numbers.

Let x = the first number.
Let y = the second number.
Let z = the third number.

The first equation comes from this sentence:

the sum of three numbers is 134.
x + y + z = 134

The second equation comes from this sentence:

the second number is 5 more than the first
y = x + 5

The third equation comes from this sentence:

the third number is 4 more than three times the second.
z = 3y + 4

Can you solve this syetem?:

x + y + z = 134
y = x + 5
z = 3y + 4

If not, post again asking how.

Answer: x = 22, y=27, z=85

Edwin