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1. 2x + 3y = 52. 3x + 4y = 12
   Firstly, you want to have the same amount of x variables, or y variables. To get the same x, we multiply 1. by 3, and multiply 2. by 2, giving us:
   3. 6x + 9y = 1...

First we should consider how many positive integers less than 100 have digit sum equal to n. The answer should be relatively straight forward for this - it is n+1.For example, if n = 3 then we can have 03...

5x+11=(y+2)/2
Best way to think about this is like its a normal equation where you're trying to find the value of x, just break it down into simple steps. The best thing to do first is to get rid of ...

This question is initially asking for the understanding tsunami formation process. It would be useful to provide a brief definition of a tsunami, so the examiner knows you have a clear idea of...