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If a : b = c : d then, (ma + nc) / (mb + nd) is equal to?

Correct Answer: a : b

Explanation:

Let (a/b) = (c/d) = k
Then, a = bk and c = dk.
∴ (ma + nc) / (mb + nd) = (mbk + ndk) / (mb + nd) = k(mb + nd/mb + nd)
= k = a/b = a : b.


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