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Discounting one (Posted on 2018-01-10) Difficulty: 3 of 5
Any three of the integers {1, X, Y, Z} add up to a perfect square.

What are X, Y, & Z?

Hint: each is below 100.

No Solution Yet Submitted by Ady TZIDON    
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re: The only way to do it. Confused | Comment 2 of 9 |
(In reply to The only way to do it. (computer solution included) by Charlie)

I don't understand 
1+8+8 = 17
8+8+8 = 24 
these are not perfect squares.

A quick look at x=y=z does yield
(1,12,12,12)
1+12+12=25
12+12+12=36

is this what you meant?

also (1,1200,1200,1200) works but they are beyond 100

  Posted by Jer on 2018-01-10 15:03:53
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