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Question
If a : b = c : d, then `(ma + nc)/(mb + nd)` is equal to ______.
Options
m : n
dm : cn
an : mb
a : b
MCQ
Fill in the Blanks
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Solution
If a : b = c : d, then `(ma + nc)/(mb + nd)` is equal to a : b.
Explanation:
Let `a/b = c/d = k`, so a = kb and c = kd.
Then `(ma + nc)/(mb + nd) = k(mb + nd)/(mb + nd) = k = a/b`.
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