Question

The sum of 2 numbers is 45 and their difference is 500 what is the answer??

Answer 1

Let numbers be 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:

let first number=x

let second number=y

x-y=500

x=500+y :-(1)

x+y=45

500+y+y=45 (putting value of x from 1)

y+y=45-500

2y=-455

y=-227.5

x=500+y

x=500-227.5

x=272.5

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