The difference between two numbers is 9 and the product of the numbers is 162. Find the two numbers

Let the no be X and Y

acc to ques ...

x-y=9 ... 1

xy=162 ... 2

substituting value from 1 in 2 we get;

x=9+y

[9+y][y] = 162

y^2+9y = 162

y^2 + 9y - 162=0

y^2 + 18y - 9y - 162=0

y[y+18] + 9[y+18]=0

[y+9][y+18}

y = - 9 ... 3

y = - 18 ... 4

case 1:

y = - 9

x = 9-9=0

case 2:

y = - 18

x = 9-18 = - 9