SOLUTION: the sum of two numbers is 11, and their product is 30. Find the numbers

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Question 829886: the sum of two numbers is 11, and their product is 30. Find the numbers
Found 2 solutions by Fombitz, LinnW:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1.A%2BB=11
2.A%2AB=30
Multiply eq. 1 by A,
A%5E2%2BAB=11A
Substitute from eq. 2,
A%5E2%2B30=11A
A%5E2-11A%2B30=0
%28A-5%29%28A-6%29=0
Two solution: A=5, then B=6 or A=6 then B=5.

Answer by LinnW(1048) About Me  (Show Source):
You can put this solution on YOUR website!
Consider number pairs whose product is 30
30,1
15,2
10,3
5,6
Check the sums
30+1=31
15+2=17
10+3=13
5+6=11
Since 5+6 = 11 our solution is 5,6