I am given a triangle of numbers; the numbers that are on the bottom of every row are random...then above those numbers, each number of each block is found using a simple rule from the two numbers that are directly below it. I have to find the rule and place the correct # on the top block.

So:

Code:

?
768 864
168 224 336
23 47 18 76

The rule doesn't seem apparent to me, but what I want to know more so than anything is if I can solve it using diophantine equations.

That is, 23x + 47y = 168; 47y + 18z = 224; 18z + 76a = 336 and so forth.

That would be so cool.

Anyone know?