Let's call the smaller number "x" and the larger number "y".
We know that:
y + x = 26 (since the total of the two numbers is 26)
and
y = 10 + 3x (since the larger number is 10 more than triple the smaller number)
We can substitute the second equation into the first equation to get:
(10 + 3x) + x = 26
Simplifying, we get:
4x + 10 = 26
Subtracting 10 from both sides, we get:
4x = 16
Dividing both sides by 4, we get:
x = 4
Now that we know x is 4, we can use the second equation to find y:
y = 10 + 3x
y = 10 + 3(4)
y = 22
Therefore, the two numbers are 4 and 22.