SOLUTION: the product of two positive numbers is 84.one number is two more than twice the other.what are the two numbers.

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Question 867946: the product of two positive numbers is 84.one number is two more than twice the other.what are the two numbers.

Answer by ramkikk66(644) About Me  (Show Source):
You can put this solution on YOUR website!
Let one number be x.
Then other number is 2*x + 2
Product = x+%2A+%282%2Ax+%2B+2%29+=+84
i.e. 2%2Ax%5E2+%2B+2%2Ax+-+84+=+0 or x%5E2+%2B+x+-+42+=+0
This can be solved through factorization
x%5E2+%2B7%2Ax+-+6%2Ax+-+42+=+0
x%2A%28x+%2B+7%29+-+6%2A%28x+%2B+7%29+=+0
%28x+%2B+7%29%2A%28x+-+6%29+=+0
So, x = -7 or x = 6
Since it is given that x is positive, the first number is highlight%286%29
and the second number is 2*6 + 2 = highlight%2814%29. 
Product = 6*14 = 84. Correct!

Hope you got it :)