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Question

Given that a:b::c:d, then which of the following follows Componendo and Dividendo property?


  1. d(ab)=b(cd)

  2. (ab):b=(cd):d

  3. aba+b=cdc+d

  4. Both a and b


Solution

The correct options are
C

aba+b=cdc+d


When a, b, c, and d are in proportion i.e. when a : b :: c : d,
then ab=cd

Applying componendo and dividendo,

aba+b=cdc+d

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