The numbers are 12 and 14.
The numbers are 8 and 9.
6,7,8 those numbers squared are 36,49,64 which add to 149
Consecutive numbers are whole numbers whose difference is 1.
Any pair of consecutive numbers will have an odd total. 10 and 12 are consecutive even numbers that total 22.
There is no set of 3 consecutive odd numbers whose product is 6,873. However, there is a set of 3 consecutive odd numbers whose sum is 6,873: 2289, 2291, and 2293.
The numbers are 12 and 14.
8
The numbers are 13 and 14.
62 and 63
15 and 16
17 and 18
The numbers are 8 and 9.
6,7,8 those numbers squared are 36,49,64 which add to 149
Consecutive numbers are whole numbers whose difference is 1.
The difference between the squares of two consecutive integers j and j+1 is |2j+1|. There are therefore two such pairs where this quantity is 17:-9 and -88 and 9
24 and 25, which are (49-1)/2 and (49+1)/2
There are two consecutive even numbers. The numbers are 62 and 64.