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A + B is also a multiple of C.

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let k, m and n be integers. Then:

A = nC as A is a multiple of C

B = mC as B is a multiple of C

→ A + B = nC + mC = (n + m)C = kC where k = n + m

kC is a multiple of C.

Thus A + B is a multiple of C.

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6y ago
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6y ago

A + B is a multiple of C.

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Q: If A B and C are counting numbers and both A and B are multiples of C what can you say about A plus B?
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