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Let the numbers by 'm' & 'n'

Hence m + n = 12

mn = 35

Hence

m = 35/n

Substitute

35/n + n = 12

Multiply through by 'n'

35 + n^2 = 12n

n^2 - 12n + 35 = 0

It is now in Quadratic Form ; Factor

( n - 7)(n - 5) = 0

Hence n= 7 or n= 5

It follows that m = 5 , or m = 7

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lenpollock

Lvl 15
2w ago
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Wiki User

14y ago

5 and 7

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Q: What 2 numbers with a sum of 12 and a product of 35?
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