Question

The product of two consecutive odd numbers is 6723.
What is the greater number?​

Answer 1

The greater number between 2 odd numbers is 83.

• Consider two odd numbers to be (2n-1) and (2n+1)
• Given the product of these 2 numbers is equal to 6723.

                           $(2n-1)(2n+1)=6723\\4*n^2 -1 =6723\\4*n^2 = 6724\\n^2=1681\\n= 41$

• the 2 numbers are:

                          (2n-1) = (2*41-1) = 81

                          (2n+1) = (2*41+1) = 83

• Hence the greater number is 83