Find the common theme with all these numbers. ( Except for the fact that all of them are wrong )

242 + 32 = 450
252 + 567 = 1575
507 + 147 = 1200
1805 + 20 = 2205
570312 + 19208 = 798848

If we just focus on the factors of the numbers that are squared, the sums work. So

242 (2x11^2) + 32 (2x4^2) = 450 (2x15^2)

11+4 = 15

252 (6^2x7) + 567 (7x9^2) = 1575 (7x15^2)

6+9 = 15

507 (3x13^2) + 147 (3x7^2) = 1200 (3x20^2)

13+7 = 20

1805 (5x19^2) + 20 (2^2x5) = 2205 (5x21^2)

19+2 = 21

570312 (2x534^2) + 19208 (2*98^2) = 798848 (2x632^2)

534+98 = 632

 

Posted by DrBob on 2005-02-06 18:08:19