Homework Help: algebra

Posted by astrid on Wednesday, March 19, 2008 at 6:48pm.

Fiona and Greg play a number guessing game. Greg gives Fiona this hint about his two secret numbers, "The product of the two consecutive positive integers that i am thinking of is 11 more than their sum." What are Greg's numbers?

algebra - Damon, Wednesday, March 19, 2008 at 7:12pm
n and (n+1)
Star in Swedish :)
n(n+1) = 11 + n + (n+1)
n^2 + n = 2 n +12
n^2 - n - 12 = 0
(n-4)(n+3) = 0
try n = 4
then n+1 = 5

check:
4*5 = 20
4+5 = 9
sure enough, 20 = 9 + 11
algebra - astrid, Wednesday, March 19, 2008 at 7:22pm
Okay thank you so much!

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