What two numbers multiply to 999 and add up to 120?

Here we answer the question: "What two numbers multiply to 999 and add up to 120?"

The answer to your question is:

9 and 111

Below we illustrate and prove that 9 and 111 multiply to 999 and add up to 120:

9 × 111 = 999
9 + 111 = 120

Are you asking because you are trying to figure out how to factor the following quadratic equation?

x² + 120x + 999 = 0

If so, the solution to factor the quadratic equation above is:

(x + 9 ) (x + 111)

To summarize, since 9 and 111 multiply to 999 and add up 120, you know that the following is true:

x² + 120x + 999 = (x + 9 ) (x + 111)

Multiply To One Number and Add Up To Another
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