Question

the sum of 2 numbers is 45 and their product is 500. what are the 2 numbers?

Answer 1

Answer:

20 and 25

Step-by-step explanation:

Let integers are x and y.

x+y=45

=> x = 45-y

x*y = 500

=> y(45-y) = 500

=> 45y -y^2 = 500

=> y^2 -45y + 500 = 0

=> y^2 -25y -20y + 500 = 0

=> y(y-25) -20(y-25) = 0

=> (y-20)(y-25) = 0

so, y=20 , x =25

or y = 25 , x =20

numbers are 20 and 25.

Answer 2

Step-by-step explanation:

a+b=45. a=45-b

ab=500

45b-b^2-500=0

b^2-45b+500=0

b^2-25b-20b+500=0

b(b-25)-20(b-25)=0

b=25

or. b=20

if b= 25 then a= 45-25= 20

so no. is 20 and 25.

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