Answers
Here are the basic solutions assuming they are all thinking
of numbers less than 100. Multiples of these solutions are also possible.
( 3, 4, 5) ( 5, 12, 13) ( 7, 24, 25) ( 8, 15, 17)
( 9, 40, 41) (11, 60, 61) (12, 35, 37) (13, 84, 85)
(16, 63, 65) (20, 21, 29) (28, 45, 53) (33, 56, 65)
(36, 77, 85) (39, 80, 89) (48, 55, 73) (65, 72, 97)
They are all Pythagorean triples.
Here are all of the 104 solutions for numbers up to 100.
32 + 42 = 52
42 + 32 = 52
52 + 122 = 132
62 + 82 = 102
72 + 242 = 252
82 + 62 = 102
82 + 152 = 172
92 + 122 = 152
92 + 402 = 412
102 + 242 = 262
112 + 602 = 612
122 + 52 = 132
122 + 92 = 152
122 + 162 = 202
122 + 352 = 372
132 + 842 = 852
142 + 482 = 502
152 + 82 = 172
152 + 202 = 252
152 + 362 = 392
162 + 122 = 202
162 + 302 = 342
162 + 632 = 652
182 + 242 = 302
182 + 802 = 822
202 + 152 = 252
202 + 212 = 292
202 + 482 = 522
212 + 202 = 292
212 + 282 = 352
212 + 722 = 752
242 + 72 = 252
242 + 102 = 262
242 + 182 = 302
242 + 322 = 402
242 + 452 = 512
242 + 702 = 742
252 + 602 = 652
272 + 362 = 452
282 + 212 = 352
282 + 452 = 532
282 + 962 = 1002
302 + 162 = 342
302 + 402 = 502
302 + 722 = 782
322 + 242 = 402
322 + 602 = 682
332 + 442 = 552
332 + 562 = 652
352 + 122 = 372
352 + 842 = 912
362 + 152 = 392
362 + 272 = 452
362 + 482 = 602
362 + 772 = 852
392 + 522 = 652
392 + 802 = 892
402 + 92 = 412
402 + 302 = 502
402 + 422 = 582
402 + 752 = 852
422 + 402 = 582
422 + 562 = 702
442 + 332 = 552
452 + 242 = 512
452 + 282 = 532
452 + 602 = 752
482 + 142 = 502
482 + 202 = 522
482 + 362 = 602
482 + 552 = 732
482 + 642 = 802
512 + 682 = 852
522 + 392 = 652
542 + 722 = 902
552 + 482 = 732
562 + 332 = 652
562 + 422 = 702
572 + 762 = 952
602 + 112 = 612
602 + 252 = 652
602 + 322 = 682
602 + 452 = 752
602 + 632 = 872
602 + 802 = 1002
632 + 162 = 652
632 + 602 = 872
642 + 482 = 802
652 + 722 = 972
682 + 512 = 852
702 + 242 = 742
722 + 212 = 752
722 + 302 = 782
722 + 542 = 902
722 + 652 = 972
752 + 402 = 852
762 + 572 = 952
772 + 362 = 852
802 + 182 = 822
802 + 392 = 892
802 + 602 = 1002
842 + 132 = 852
842 + 352 = 912
962 + 282 = 1002 |
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