ANSWER
[tex]4,8,14[/tex]
EXPLANATION
Let the first number be
[tex]x[/tex]
Then the second number will be
[tex]2x[/tex]
and the third number is
[tex]2x + 6[/tex]
The sum of these numbers is 26.
This implies that;
[tex]x + 2x + (2x + 6) = 26[/tex]
Group similar terms;
[tex]x + 2x + 2x = 26 - 6[/tex]
Simplify;
[tex]5x = 20[/tex]
Divide both sides by 5
[tex]x = \frac{20}{5} [/tex]
This gives us;
[tex]x = 4[/tex]
The numbers are:
[tex]4,8,14[/tex]
