Question

Please this question

Answer 1

Let the 2 consecutive odd integers be

n and n+2.

n(n + 2) = 99

Solve for n.

n2 + 2n - 99 = 0

(n + 11)(n - 9) = 0 ⇒

Two solutions:

n = -11

n + 2 = -9

and

n = 9

n + 2 = 11

Test the answers.

OR

Let the two consecutive odd integers be x and x +2

x +2 Given :-

x(x+2) = 99

x² + 2x = 99

x² + 2x - 99 = 0

splitting the middle term :-

x² + 11x - 9x - 99 = 0

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

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

x = 9 , x = - 11

x = 9 is the value taken here :-

x = 9

x + 2 = 9 + 2 = 11

The no:s would be 9 and 11

Hope this helps....

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