Question

The product of two consecutive positive odd numbers is 675. Find the numbers

Answer 1

The consecutive positive odd numbers are 25 and 27

Solution:

The factors of 675: 1,3,5,9,15,25,27,45,75,135,225,675

So, as mentioned in the question, the product of the numbers is 675 and both the numbers are odd and consecutive.

Here, the two numbers that satisfy the given condition are 25 and 27.

Verification:

Conditions to be satisfied:

1. Both the numbers are consecutive odd numbers. Therefore, their difference should be 2.
2. The product of both the numbers should be 675.

Here, 27 and 25 are consecutive positive odd numbers.

`27-25=2` (the difference is 2)

On multiplying both the numbers,

`27*25=675`

Hence, both the conditions are satisfied.

Therefore, it can be concluded that the consecutive odd numbers are 25 and 27.

Answer 2

25 and 27.

Explanation:

25 x 27 = 675!