SOLUTION: find two whose sum is 20 and product is 99.

Algebra ->  Problems-with-consecutive-odd-even-integers -> SOLUTION: find two whose sum is 20 and product is 99.       Log On


   

Question 1109568: find two whose sum is 20 and product is 99.
Answer by josgarithmetic(39623) About Me  (Show Source):
You can put this solution on YOUR website!
system%28x%2By=20%2Cxy=99%29

x%2820-x%29=99
-x%5E2%2B20x-99=0
x%5E2-20x%2B99=0
-
D=400-4%2A99=400-496=2%5E2
-
x=%2820%2B-+2%29%2F2
system%28x=9%2Cor%2C11%29

The numbers are 9 and 11.

Simply factoring 99 into 9%2A11 might be enough to quickly find this answer.