<PRE><B>Question 132132</B>
SOLUTION -
 Let the present age of dot be x years
  and the present age of cousin be y years
  sum of their ages=24
  x+y=24
  x=24-y       .......(1)
 three years ago
 age of dot=(x-3)years
 age of cousine=(y-3)
 now according to the condition we have
 (x-3)=2(y-3)
 substituting the value of x from equation (i) we have
 24-y-3=2y-6
 21-y=2y-6
 21-y-21=2y-6-21
 -y-2y=2y-15-2y
 -3y=-15
 {{{-3y/-3}}}={{{-15/-3}}}
 y=5
 substituting the value of y in equation (i) we have
 x=24-y
 x=24-5
 x=19
 dot present age=19 years
 cousin present age=5 years

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