Question

find two numbers whose sum is 27 and product is 182​

Answer 1

Step-by-step explanation:

let the two numbers be x,y

x + y = 27

x = 27 - y -------------(1)

xy = 182

x = 182/y ----------------(2)

in both equations LHS is equal so RHS can be equated

27 - y = 182 / y

27y - y^2 = 182

0 = y^2 - 27y + 182

0 = y^2 -13y -14y +182

grouping the terms ,

0 = ( y^2 - 13y ) - 14y + 182

taking y common in 1st group , and 14 in 2nd group

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

here (y - 13) is common

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

y = 13 { or } 14

if y = 13 , if y = 14 ,

x = 27 - 13 x = 27 - 14

x = 14 { or } x = 13

Answer 2

Answer:

follow the upper answer it's correct