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

User Huron
by
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1 Answer

4 votes

Answer:

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

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.

User Kunal Puri
by
7.2k points

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