SOLUTION: Two numbers are multiplied together. The product is 1218. Each of the two numbers are doubled. Give the product of these larger numbers. Thank you. Malen Topio Email:mtopio.

Algebra ->  Human-and-algebraic-language -> SOLUTION: Two numbers are multiplied together. The product is 1218. Each of the two numbers are doubled. Give the product of these larger numbers. Thank you. Malen Topio Email:mtopio.      Log On


   



Question 1040344: Two numbers are multiplied together. The product is 1218. Each of the two numbers are doubled. Give the product of these larger numbers.
Thank you.
Malen Topio
Email:mtopio.caom@gmail.com

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
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