Two numbers add to $13$ and multiply to $42$ . What are the two numbers?

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Answer 1 · 2016-09-01T02:30:46

The numbers are $6$ and $7$ .

Let the first number be $x$ and the second be $y$ .

$x + y = 13$

$xy = 42$

$y = 13 - x$

$x(13 - x) = 42$

$13x - x^2 = 42$

$0 = x^2 - 13x + 42$

$0 = (x - 7)(x - 6)$

$x = 7 and 6$

$:.$ The numbers are $7$ and $6$ .

Hopefully this helps!

Two numbers add to 1313 and multiply to 4242. What are the two numbers?