12 and 13
The numbers are 12 and 14.
Consecutive numbers are whole numbers whose difference is 1.
9 and 6 9-6 = 3 92+62 = 117
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.
8
15 and 16
62 and 63
12 and 13 (and you may note that 12+13 = 25)
The numbers are 13 and 14.
24 and 25, which are (49-1)/2 and (49+1)/2
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
17 and 18
The numbers are 12 and 14.
The numbers are 12 and 14.
Let's call n the first one the problem is (n+1)2-n2=17 = 2n+1 then n = 8
Consecutive numbers are whole numbers whose difference is 1.