SOLUTION: the sum of two numbers is 9 and the sum of thier squaresis 41. find the numbers

Question 216492: the sum of two numbers is 9 and the sum of thier squaresis 41. find the numbers
Answer by Kalmetam(43) (Show Source): You can put this solution on YOUR website!
For this problem let number 1 be X and number 2 be Y

There are many ways to solve this... but lets try the most simple way.
Find the Square numbers up to 8

Right off the bat you can eliminate the last two...
This leaves us with...
1
4
9
16
25
36
The easy way to do it from here is pretend each of those are X... W stands for whole number. Plug in the X's... If 41-X does not equal a whole number, ELIMINATE it.

Let's try...

40 is not a square number... ELIMINATED a
Next number...

37 is not a square number either... 2 is eliminated

32 is not a square number... and since 3+6=9, 6 is eliminated as well...
This leaves us with 4 and 5 left... let's try..

The two numbers are 4 and 5.

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