SOLUTION: The sum of three numbers is 26. The third number is twice the second, and is also 1 less than 3 times the first. What are the three numbers?

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Question 1070327: The sum of three numbers is 26. The third number is twice the second, and is also 1
less than 3 times the first. What are the three numbers?
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39618)   (Show Source): You can put this solution on YOUR website!



Substitute into the first equation.

-----start by solving for z.
Answer by ikleyn(52790)   (Show Source): You can put this solution on YOUR website!
.
The sum of three numbers is 26. The third number is twice the second, and is also 1
less than 3 times the first. What are the three numbers?
~~~~~~~~~~~~~~~~~~~~~~~~

The solution by "josgarithmetic" was wrong.


Below is my corrected solution. 

x + y + z = 26,   (1)
z = 2y,           (2)
z = 3x - 1.       (3)

From (2),  y = .

From (3),  x = .

Substitute it into (1). You will get

 = 26.

Write it with the common denominator, which is 6. You will get

 = 26,   or

11z + 2 = 156  --->  11z = 156 - 2  --->  z =  = 14.

Then y = 7  and  x = 5.

Answer.  x = 5,  y = 7,  z = 14.


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