Find two consecutive odd integers whose product is 899

Step-by-step explanation:

Let two consecutive odd numbers

x, x+2

According to condition

X (x+2) = 899

x2 + 2x - 899=0

X2 + 31x - 29x - 899=0

x (x+31) - 29 (x+31) = 0

(x+31) (x-29) = 0

X=-31 or x = 29

Now,

X=29

X+2 = 29+2 = 31

Two consecutive odd numbers is 29 and 31