Question

The squares of two consecutive positive integers differ by 2003. What is the sum of these two integers?

Answer 1

Answer:

2003

Step-by-step explanation:

Let the integers be x and x + 1.

Given (x+1)

2

−x

2

=2003. According to the given condition,

x

2

+2x+1−x

2

=2003

2x+1=2003

x+(x+1)=2003

∴ Required sum =2003.

Answer 2

Answer:

Required sum =2003.

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