Question

The diffrence two no is 9 and the product of the is 162 what are two no

Answer 1

let the nos. be x and y and let x> y.

according to question,

x-y=9

and xy = 162.

therefore, x = y+9.

put value of x as y+ 9

the equation becomes y^2+9y-162=0.

By middle term split method, factorise the equation and value of y comes, 9 and -18, -18 is not a possible value therefore y=9.

Now put value of y in terms of x and x comes to be 18.