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What two numbers add to give you 56 and multiply to give you 372?
Wiki User
∙ 13y ago
428
Kathryn Lebsack
Wiki User
∙ 13y agoThis can be solved using algebra. Let's call one number x, and the other number y. Now, let's write a system of equations that describe the question. That is,
x + y = 56, and
xy = 372.
Dividing both sides of the second equation by y gives us
x = 372 / y.
Substituting this into the first equation,
372 / y + y = 56.
Multiplying both sides by y,
372 + y2 = 56y.
Solving the quadratic equation y2 - 56y + 372 = 0 gives us y = 7.7 or 48.3. If y = 7.7, then x = 372 / 7.7 = 48.3. If y = 48.3, then x = 372 / 48.3 = 7.7. Therefore, the solution can be written as
x = 7.7 and y = 48.3, or
x = 48.3 and y = 7.7.
Thus, the two numbers in question are 7.7 and 48.3.
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