Question

The product of two consecutive odd numbers is 10 more than the square of the smaller number. Find the smaller number

Answer 1

5

Explanation:

let the consecutive odd numbers be n and n + 2 , then

n(n + 2) = n² + 10 , that is

n² + 2n = n² + 10 ( subtract n² from both sides )

2n = 10 ( divide both sides by 2 )

n = 5

That is the smaller number is 5