Question

The product of two consecutive positive odd integers is 2499. Find the bigger integer.

Answer 1

Answer:

Step-by-step explanation:

Consecutive odd integers are integers that take on the form n, n + 2, n + 4, n + 6, and so on, where n is odd.

Now, Product of two consecutive positive odd integers = 2499

=>n*(n+2) = 2499

=>n^2+2^n-2499=0

=>n^2+51^n-49^n-2499=0

=>n(n+51)-49(x+51)=0

=>(n+51)(n-49)=0

=>n=49 (n is not equal to -51 which is negative integer).

So,bigger integer =(n+2)=49+2=51.

Answer 2

Answer:

Step-by-step explanation:

Consecutive odd integers are integers that take on the form n, n + 2, n + 4, n + 6, and so on, where n is odd.

Now, Product of two consecutive positive odd integers = 2499

=n*(n+2) = 2499

=n^2+2^n-2499=0

=n^2+51^n-49^n-2499=0

=n(n+51)-49(x+51)=0

=(n+51)(n-49)=0

=n=49 (n is not equal to -51 which is negative integer).

So,bigger integer =(n+2)=49+2=51.