Question

The product of two consecutive odd integers is 99.Find the integers

Answer 1

Answer:

Two Numbers are 9 and 11

Step-by-step explanation:

suppose two numbers are X and X+2

X *(X+2) = 99

x^2 +2X=99

x^2 +2X-99=0

x^2 +11x-9x-99=0

x(x+11)-9(x+11)=0

(x+11)(x-9)=0

x+11=0 & x-9=0

x= -11 & x=9

Answer 2

Let the numbers be (2x−1) and (2x+1),

(2x−1)(2x+1)=99 i.e.

4x2−1=99 or 4x2−100=0 or x2−25=0

i.e. (x−5)(x+5)=0 i.e. x=5or−5

Hence consecutive integers are −11 and −9 or 9 and 11.