Question

The sum of two numbers is 45 and their product is 500. The g.C.M. Of the numbers is

Answer 1

Answer:

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

Answer:

your answer will be

20 and 25