There are several information's already given in the question. Based on those information's the answer can be detrmined. Smaller of the two integers = n Larger of the two integers = n + 1 Then (1/2) * [(n) * ( n + 1)] = 105 (1/2) * (n^2 + n) = 105 m^2 + n = 210 n^2 + n - 210 = 0 From the above deduction, it can be concluded that the correct option among all the options that are given in the question is the first option or option "A".