Question

The square of two positive integers is differs by 2019. What is the sum of these two integers

Answer 1

Answer:673

Step-by-step explanation:

Let's say the to integers are 'a' and 'b'.

Then, a^2-b^2=2019.

So, (a+b)(a-b)=2019.

As we can know that 2019=3*673 and a+b is bigger than a-b,

we can find out that a+b=673,a-b=3 (because a,b is positive integers).

So,a+b=673 (a=338,b=335)

Answer 2

The answer for this question is 673

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