1.
x + y = 3
x^2 + y^2 = 5
Some numbers: 1,2,3,4,5
Their squares: 1,4,9,16,25
1+2 = 3
1+4 = 5
The numbers are 1 and 2.
2.
x-y = 1
x^2-y^2 = 5
3-2 = 1
9-4 = 5
The numbers are 2 and 3.
3.
x + y = 16
x^2 + y^2 = 146
Some numbers: 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16
Their squares: 1,4,9,16,25,36,49,64,81,100,121,144,169,196,225,256
5 + 11 = 16
25 + 121 = 146
The numbers are 5 and 11.
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Answers & Comments
1.
x + y = 3
x^2 + y^2 = 5
Some numbers: 1,2,3,4,5
Their squares: 1,4,9,16,25
1+2 = 3
1+4 = 5
The numbers are 1 and 2.
2.
x-y = 1
x^2-y^2 = 5
Some numbers: 1,2,3,4,5
Their squares: 1,4,9,16,25
3-2 = 1
9-4 = 5
The numbers are 2 and 3.
3.
x + y = 16
x^2 + y^2 = 146
Some numbers: 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16
Their squares: 1,4,9,16,25,36,49,64,81,100,121,144,169,196,225,256
5 + 11 = 16
25 + 121 = 146
The numbers are 5 and 11.