MathematicsFour years ago, the ages of Ritu and Reena were in the ratio 5:6 respectively. Eight years from now, the ratio of their respective ages will be 8:9. What is the sum of their ages at present?

Four years ago, the ages of Ritu and Reena were in the ratio 5:6 respectively. Eight years from now, the ratio of their respective ages will be 8:9. What is the sum of their ages at present?


  1. A
    52 years
  2. B
    50 years
  3. C
    60 years
  4. D
    62 years 

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    Solution:

    Let the present age of Ritu and Reena be x and y respectively.
    four years ago,
    (x−4​)/(y-4)=5​/6

    Or, x−24=5y−20
    6x−5y=4...............(i)
    After eight years,
    (x+8)/(y+8)​=8​/9
    9x−8y=−8 ................(ii)
    from equation (i) and (ii)
    we get x=24 and y=28
    So, sum of their ages at present =(24+28)
    = 52 years.

    So, Option 1 is correct.
     
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