Final answer:
By setting up an equation, we can find that Jon's number is 7.
Step-by-step explanation:
In order to solve the problem, we need to set up an equation. Let's assume the number we're looking for is 'x'. According to Jon's statement, when he triples his number and adds five, he gets twenty-six.
So we can write this as the equation 3x + 5 = 26.
To find the value of 'x', we need to isolate it on one side of the equation. First, we subtract 5 from both sides: 3x + 5 - 5 = 26 - 5.
Simplifying the equation, we get 3x = 21. To isolate 'x', we divide both sides of the equation by 3: 3x/3 = 21/3. This gives us x = 7. Therefore, Jon's number is 7.