SOLUTION: the product of two positive consecutive odd intergers is 21 more than twice the larger number. What value represents the larger number?

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Question 607520: the product of two positive consecutive odd intergers is 21 more than twice the larger number. What value represents the larger number?
Answer by alicealc(293) About Me  (Show Source):
You can put this solution on YOUR website!
smaller odd number = x
larger odd number = x + 2

x*(x + 2) = 21 + 2*(x + 2)
x%5E2+%2B+2x+=+21+%2B+2x+%2B+4
x%5E2+%2B+2x+=+25+%2B+2x
x%5E2+%2B+2x+-+2x+-+25=0
x%5E2+-+25=0
(x - 5)*(x + 5) = 0
x - 5 = 0 or x + 5 = 0
x = 5 or x = -5
because the number is positive, we choose x = 5
larger number = x + 2 = 5 + 2 = 7

so, the larger number is 7