Let's assume the first number is represented by "x" and the second number is represented by "y."
According to the given information, we have two equations:
1) The sum of the two numbers is 209:

2) One number is 7 less than two times the other:

To solve this system of equations, we can use substitution or elimination.
Substitution method:
We substitute the value of x from the second equation into the first equation:

Simplifying the equation:

Adding 7 to both sides:

Dividing both sides by 3:

Now, substitute the value of y back into the second equation to find x:


So the two numbers are x = 137 and y = 72.