SOLUTION: The second of three numbers is 6 more than the first. The third number is twice the first. The sum of the three numbers is 26. Find the three numbers .

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Question 230368: The second of three numbers is 6 more than the first. The third number is twice the first. The sum of the three numbers is 26. Find the three numbers .
Answer by texttutoring(324) About Me  (Show Source):
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We need to have 3 variables (x,y,z) representing the numbers and three equations representing the conditions.
Eqn 1: x+6=y
Eqn 2: 3x=z
Eqn 3: x+y+z=26
Substitute the Eqn's 1 and 2 into Eqn 3 so that the only variable is x:
x+(x+6)+3x=26
5x+6=26
5x=20
x=4
Find y:
Eqn 1: x+6=y
4+6=y
y=10
Find z:
Eqn 2: 3x=z
3*4=z
z=12
The three numbers are x=4, y=10, and z=12.