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105.9375

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Virginia Bradtke

Lvl 10
3y ago
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12y ago

Let the numbers be x and y:

x+y = 20 which implies that: y = 20-x

xy = 85.9375 which implies that: x(20-x) = 85.9375 => 20x-x2 = 85.9375

Divide all terms by -1 and form a quadratic equation:

x2-20x+85.9375 = 0

Solving the above equation by means of the quadratic equation formula gives x values of 6.25 or 13.75

Therefore it follows that the numbers are 6.25 and 13.75

Check: 6.25*13.75 = 85.9375 and 6.25+13.75 = 20

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Q: What are the two numbers that when multiplied equals 85.9375 and when added equals 20 showing your workings?
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