To solve the problem, let’s denote the two numbers as x and y.
According to the information provided, we know two things:
- The sum of the two numbers is 39, which can be represented mathematically as:
- x + y = 39
Additionally, it is stated that one number is twice as large as the other. Without loss of generality, let’s assume:
- y = 2x
Now we can substitute the value of y in the first equation:
- x + 2x = 39
This simplifies to:
- 3x = 39
Next, we can solve for x by dividing both sides of the equation by 3:
- x = 39 / 3
- x = 13
Now that we have the value of x, we can find y using the equation y = 2x:
- y = 2 * 13
- y = 26
Thus, the two numbers are 13 and 26.
In conclusion, the numbers that satisfy the conditions of the problem are:
- First number: 13
- Second number: 26