Ten years ago, P was half of Q's age. If the ratio of their present ages is
3:4, what will be the total of their present ages?

• Answer is 35.
  
  Let the age of Q 10 years ago be 'x'.
  That is age of P 10 years ago is 'x/2'
  
  Now Present age of P and Q are 'x/2+10' and 'x+10' respectively.
  
  Ratio of present age of P and Q is:
  
  (x/2+10)/(x+10)=3/4
  i.e. 2(x+20)=3(x+10)
  i.e. 2x+40=3x+30
  i.e. x=10
  
  Now Q's age 10 years ago is 10.
  P's age 10 years ago is 5.
  
  Present age of P and Q are 15 and 20 respectively.
  
  Sum of the present age of P and Q is 15+20=35
  Hence answer is 35.
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