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Suppose that N=85^200 + 120^200. Find the remainder when you divide N by 7
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Notice that 85 = 12*7 + 1 gives the remainder 1, when divided by 7.
Hence, the number 85 in any integer positive degree gives the remainder 1, when divided by 7.
In particular, 85^200 gives the remainder 1, when divided by 7.
Next, notice that 120 = 17*7 + 1.
The same arguments prove that 120^200 gives the remainder 1, when divided by 7.
So the ANSWER to the problem's question is 1 + 1 = 2.
Solved.
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How @MathLover1 treats the problem, shows that she NEITHER understands the subject
NOR knows how to approach the question.
