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Let a and b represent the numbers.

ab = 185

a + b = 42

From this get b = 42 - a.

Substitute into ab = 185.

a(42 - a) = 185

-a2 + 42a - 185 = 0

a2 - 42a + 185 = 0

Factoring, we get (a - 5)(a - 37) = 0

Therefore the two numbers are 5 and 37.

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