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Find two positive even integers such that the square of the smaller integer is ten more than the larger integer

 Jan 31, 2020
 #1
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Find two positive even integers such that the square of the smaller integer is ten more than the larger integer  

 

smaller integer     4    

larger integer       6              

 

edited to add:

 

I just hurriedly wrote down the first ones I thought of.  As I continued thinking, I realized there are lots of them.

 

5 & 15 ..... 6 & 26 ..... 7 & 39 ..... I gues the examples go on forever.  

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 Jan 31, 2020
edited by Guest  Jan 31, 2020
 #2
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Oh.  Just reread.  Let this be a lesson:  Always read the questions carefully.  

The problem specified even integers.  Never mind the 5 pair and the 7 pair.

 

Here's some more even pairs:  8 & 54 .... 10 & 90 .... 12 & 134 .... 14 & 186 ....

 

As you can see, these also go on forever. 

Just pick an even number, square it, and subtract 10 for the second number.

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Guest Jan 31, 2020

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