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What numbers do you add to get 33 and multiply to get 27?

Updated: 8/21/2019
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10y ago

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Gail Baumbach

Lvl 10
3y ago
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10y ago

Let the two numbers be represented by a and b.

Then, ab = 27 so b = 27/a.

And, a + b = 33 . . . substituting for b gives :-

a + (27/a) = 33 . . . .multiplying throughout by a

a² + 27 = 33a . . . . . . . .rearranging

a² - 33a + 27 = 0

Solving this quadratic equation either by completing the square of using the quadratic formula gives the answer a = 32.16046 and 0.83954 . One of these figures can be regarded as the value for b.

32.16046 + 0.83954 = 33.0

32.16046 x 0.83954 = 27.0

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Q: What numbers do you add to get 33 and multiply to get 27?
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