Question

The difference of 2 numbers is 20 and their product is 125

Answer 1

The two numbers are ;

x = 25

y = 5

I Hope It Helps :)

Explanation:

`Let -the -unknown- numbers-be-x-and-y\\x-y =20 (1)\\xy = 125 (2)\\On -equation (1) make-x -the- subject-of-the-formula\\x = 20+y\\Substitute, 20+y in- equation- for x\\y(20+y)=125\\20y +y^(2) =125\\Arrange-in-general-form-of-a-quadratic-equation=\\ax^(2) +bx +c =0\\y^(2) +20y-125=0\\Using -factorization -method\\Find-two-factors- when - added- give +20 and -when- multiplied give-125\\Factors=+25y and -5y\\y^(2) +25y-5y-125=0\\factorize- y -out \\y(y+25)-5(y+25)=0\\(y+25)(y-5)=0\\`

`(y+25)=0- or -(y-5)=0\\y = 0-25 -or- y = 0+5\\y = -25 , y= 5\\ y- cannot -have- a- negative- value \\y = 5\\substitute 5 for y in equation (1) -or-(2)\\x-y = 20 (10\\x-5 = 20 \\x = 20 +5\\x = 25`

Answer 2

ans= 25, 5

Explanation:

Guess a number that you can the difference as 20 and when you multiply you get 125. For imstance in my case the difference between 25 and 5 is 20 and their product is 125