Question 254303
Let the two consecutive odd integers be x and x+2
The even integer between them is x+1
Given,the product of two consecutive odd integers exceeds ten times the even number between them by 95
         x(x+2) = 10(x+1)+95
         x^2+2x = 10x+10+95
         x^2+2x-10x-10-95 = 0
         x^2-8x-105 = 0
         (x-15)(x+7) = 0
                   x = 15 or -7
X cannot be negative.
Therefore x = 15.
So the odd integers are 15 and 17