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

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. (, ) We can interpret the statement mathematically by means of the following expression:

Where , , .

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

Now we evaluate and to obtain the natural numbers:

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