I think of 2 numbers. One number is 39 greater than the other number. If I add 9 to the larger number it will be 3 times greater than the smaller number. Find the larger number.

Let's assume the smaller number is x.

According to the given information, the larger number is 39 greater than the smaller number, so the larger number is x + 39.

If we add 9 to the larger number, it will be 3 times greater than the smaller number. In equation form, this can be written as:

x + 39 + 9 = 3x

Simplifying the equation, we have:

x + 48 = 3x

Subtracting x from both sides, we get:

48 = 2x

Dividing both sides by 2, we have:

24 = x

The larger number is x + 39, so substituting the value of x, we get:

x + 39 = 24 + 39 = 63

Therefore, the larger number is 63.