8
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
There are two consecutive even numbers. The numbers are 62 and 64.
The numbers are 244 and 245.
8
62 and 63
Let's denote the two consecutive numbers as x and x+1. The square of the first number is x^2, and the square of the second number is (x+1)^2. According to the given condition, their squares differ by 25, so we have the equation (x+1)^2 - x^2 = 25. Simplifying this equation, we get x^2 + 2x + 1 - x^2 = 25, which simplifies to 2x + 1 = 25. Solving for x, we find x = 12. Therefore, the two consecutive numbers are 12 and 13.
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.