Question

The product of two consecutive positive odd numbers is 255. Find the numbers.

Answer 1

Answer: The numbers are 15 and 17

Explanation:

Let the first odd number be x and the next odd number be (x + 2)

$x(x+2) = 255$

$\Rightarrow x^2 + 2x = 255$

$\Rightarrow x^2 + 2x + 1 = 255 + 1$

$\Rightarrow (x+1)^2=256$

$\Rightarrow x+1=\sqrt{256}=16$

$\Rightarrow x = 16-1 = 15$

The next consecutive odd number = 15 + 2 = 17

Hope it helped