Question

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

पर्याय

• m : n

• dm : cn

• an : mb

• a : b

Answer 1

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`.