What two numbers multiply to 405 and add up to 54?

Here we answer the question: "What two numbers multiply to 405 and add up to 54?"

The answer to your question is:

9 and 45

Below we illustrate and prove that 9 and 45 multiply to 405 and add up to 54:

9 × 45 = 405
9 + 45 = 54

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

x² + 54x + 405 = 0

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

(x + 9 ) (x + 45)

To summarize, since 9 and 45 multiply to 405 and add up 54, you know that the following is true:

x² + 54x + 405 = (x + 9 ) (x + 45)

Multiply To One Number and Add Up To Another
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