Question 1040344
Let x and y be the two unknown numbers. We don't know what x is and we don't know what y is. But we do know what x*y (x times y) is: it is 1218. 


So,
x*y = 1218
keep this in mind


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We're told that "Each of the two numbers are doubled" so x turns into 2*x. Also, y turns into 2*y


Multiply 2x and 2y to get (2x)*(2y) = (2*2)*(x*y) = 4*(x*y)


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After we double the unknown numbers, and multiply the results, we end up with 4*(x*y)


Let's replace the x*y with 1218 (see above)


4*(x*y) = 4*1218 = 4872


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The final answer is 4872