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Find two integers whose sum is 20 and product is 99

User Real World
by
5.0k points

1 Answer

5 votes

Answer:

11 and 9

Explanation:

X+Y=20

X*Y=99

Y=20-X

X*(20-X)=99

20X-X^2=99

20X-X^2–99=0

-(X - 11) (X - 9) = 0

Two solutions

X-11=0, X=11

X-9=0, X=9

Y=20-X, so if X is 9, Y is 11

Y=20-X, so if X is 11, Y is 9

The two numbers are 11 and 9

User Cleftheris
by
4.6k points