Question

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

Answer 1

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