Proposition 7. Let a, b, c, d E Z and n be a positive integer. If a = b (mod n) andc = d (mod n), then a +c = b+d (mod n). Hint: Try using the definition of modulo n. We define a = b (mod n) as n|(b – a). Proof.

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A:

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A: let that number is x and quotient of the number and 4 be x4

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A: the question is related to inequality we solve it.

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A: topic - cubic polynomial

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A: We will solve this by factorization.

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A:

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A: Find a number for which of 13 less than the number is the same as 13 more than the number.

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A: Given that,

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A:

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A: This question from pascals triangle. Lets solve the question