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Let the two numbers be represented by a and b.
Then a x b = 1408..........so b = 1408/a
And, a - b = 12.....substituting for b this becomes,
a - (1408/a) = 12.....multiplying throughout by a and equating to zero gives,
a2 - 12a - 1408 = 0......This can be factored,
(a - 44)(a + 32) = 0
Then a = 44 or a = -32
As a - b = 12 then b = a - 12
When a = 44 then b = 32
When a = -32 then b = -44
The numbers are ± 44 and ± 32
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