Question

The sum of two consecutive natural numbers is 525. Find the numbers.

Answer 1

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. ($|x-y| = 1$, $\forall\,x,y \in \mathbb{N}$) We can interpret the statement mathematically by means of the following expression:

$x + y = 525$

$x = n$

$y = n+1$

Where $x$, $y$, $n$ $\in \mathbb{N}$.

This system is reduced to a single equation and solved afterwards:

$n +(n+1) = 525$

$2\cdot n + 1 = 525$

$2\cdot n = 524$

$n = 262$

Now we evaluate $x$ and $y$ to obtain the natural numbers:

$x = 262$

$y = 263$

262 and 263 are consecutive natural numbers whose sum is 525.