The product of two consecutive odd numbers is 4623. Which is the greater of the two numbers’?
The product of two consecutive odd numbers is 4623. Which is the greater of the two numbers’?
Answer: Let’s solve this problem step by step. We are given that the product of two consecutive odd numbers is 4623.
Let the first odd number be x.
Then, the next consecutive odd number is (x + 2), since odd numbers are spaced by 2.
According to the problem, the product of these two consecutive odd numbers is 4623:
x * (x + 2) = 4623
Now, we can solve for x:
x^2 + 2x - 4623 = 0
(x+69)(x-67)=0
x=67 or x=-69