Question

Sum of two number is 27 and two product number is 182

Answer 1

Answer:14 and 13

Step-by-step explanation:

let two numbers be x and y

then from question

x+y=27.............(1)

xy=183...............(2)

now multiplying equation 1 by y

xy+y^2=27y

or,y^2-27y+183=0           {xy=183 from 1]

or,y^2-14y-13y+183=0

or,y(y-14)-13(y-14)=0

either                     or

y=13                     y=14

when                   when

y=13                       y=14

x=27-13                   x=27-14

  =14                            =13

so two numbers are 13 and 14