Question 1058624
Let x represent the smaller of the two numbers.


The next odd integer is x + 2.


Since the square of the smaller number is 97 more than their sum, you
can write:


x^2 = (x + x + 2) + 97


Rearranging this equation gives:


x^2 - 2x - 99 = 0


This can be factored as:


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


which gives the following values:


x = -9, x = 11


Solutions: 

1. The numbers are -9 and -7

2. The numbers are 11 and 13