If  
p
q
  =  
p x m
q x n
  then what is the relation between m and n?


Answer:

m = n

Step by Step Explanation:
  1. According to the question,  
    p
    q
      =  
    p x m
    q x n
     .
  2. Now,
     
    p
    q
      =  
    p x m
    q x n
     
    ⇒p × (q × n) = q × (p × m)
    ⇒ (p × q) × n = (q × p) × m
    ⇒  
    n
    m
      =  
    p × q
    q × p
     
    ⇒  
    n
    m
      =  
    p × q
    p × q
     
    ⇒  
    n
    m
      = 1
    ⇒ n = m
    Or,
    ⇒ m = n
  3. Hence, the relation between m and n is m = n.

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