Question

The sum of two positive consecutive odd integers is less than 12,183. What pair of numbers has the greatest sum?

Answer 1

Answer:

We know that ODD + ODD = EVEN

So we have been asked for the nearest consecutive ans to 12183.

So, as odd + odd = even. we can take 12182.

So, to get two numbers we have to divide 12182 by 3

12182/2 = 6091

So after getting this ans we have to take the consecutive no. before or after 6091 and add them and check the ans if it is similar to 12183.

Before 6091,

6091+6089 = 12180

After 6091,

6091+6093 = 12184.

So the ans is 12180.