Question

.Find two numbers whose sum is 27 and product is 182.

Answer 1

hope this will help you

Answer 2

Answer:

Let the first number be x

Let the second number be y

A.T.Q

=  x + y = 27

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

xy = 182 --------(2)

 putting the value of y in (2)

  xy = 182

  x(27 - x) = 182

  27x - x^2 = 182

  -x^2 + 27x - 182 =0

x^2 - 27x + 182 = 0

By factorization method

x^2 - 27x + 182 = 0

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

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

x(x - 14) - 13(x - 14) = 0

(x - 14) ( x - 13)

x - 14 = 0, x - 13 = 0

x = 14, x = 13

putting the value of anyone value of x in (2)

xy = 182

14(y) = 182

14y = 182

y = 182/14

y = 13

Hence, the first number is = 14

      the second number is = 13