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4 & 9

For any two unknown numbers, we can say

nm = 36

n + m = 13

Hence

n = 13 - m

Substitute

(13 - m) m = 36

Multiply out

13m - m^2 = 36

m^2 - 13m + 36 = 0

factor

( m -9)( m - 4) = 0

Hence

m = 4 & m = 9

NB THis is good for any two unknown numbers, to be found against any constant.

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lenpollock

Lvl 15
6mo ago
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Wiki User

13y ago

9 x 4 = 36

9 + 4 = 13

The two numbers are therefore 9 and 4.

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Q: Which two numbers have a product of 36 and a sum of 13?
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