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Question

The present age of sam and zen are in the ratio 5 :4 . Eight years from now, their age will be in ratio 6 : 5 . Write the algebraic equation and find their present age .

  1. 12yrs, 23yrs
  2. 20yrs, 32yrs
  3. 40yrs, 32 yrs
  4. 15yrs, 20yrs

The correct answer is: 40yrs, 32 yrs


    Let the present age of sam and zen be 5x and 4x years respectively,
    After 8 years , their age will be 5x + 8 and 4x +8 years ,
    According to ques ,
    (5x+8) /(4x+8) =6/5
    25x + 40 = 24x + 48
    X = 8
    Hence , present age of Sam = 5*8 = 40yrs
    Present age of zen = 4 *8 = 32yrs

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