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# Answer to Question #4924 in Algebra for jojo alex

Question #4924
two numbers differ by 3 and their product is 504 find the number ?
1
2011-11-01T11:34:04-0400
Solution

We have two unknown numbers and two conditions on these numbers.

Let's designate these numbers through x, y .

Let's make system of the equations.

Let's solve system of the equations.

& <img src="data:image/png;base64,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" alt=""> lt;img src="data:image/png;base64,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" alt="">

Thus Thus

Answer: This numbers are 24,21 or -24,-21.

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