Answer:
262 and 263 are consecutive natural numbers whose sum is 525.
Step-by-step explanation:
Natural number are a subset of real numbers consisting in positive integers (i.e. 1, 2, 3, 525) and two natural numbers are consecutive when distance between each other is equal to 1. ([tex]|x-y| = 1[/tex], [tex]\forall\,x,y \in \mathbb{N}[/tex]) We can interpret the statement mathematically by means of the following expression:
[tex]x + y = 525[/tex]
[tex]x = n[/tex]
[tex]y = n+1[/tex]
Where [tex]x[/tex], [tex]y[/tex], [tex]n[/tex] [tex]\in \mathbb{N}[/tex].
This system is reduced to a single equation and solved afterwards:
[tex]n +(n+1) = 525[/tex]
[tex]2\cdot n + 1 = 525[/tex]
[tex]2\cdot n = 524[/tex]
[tex]n = 262[/tex]
Now we evaluate [tex]x[/tex] and [tex]y[/tex] to obtain the natural numbers:
[tex]x = 262[/tex]
[tex]y = 263[/tex]
262 and 263 are consecutive natural numbers whose sum is 525.
