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The ratio of the present ages of Sunita and Vinita is 4 : 5. 6 yr hence, the ratio of their ages will be 14 : 17. What will be the ratio of their ages 12 yr hence?

  • 15 : 19

  • 13 : 15

  • 16 : 19

  • 16 : 19


C.

16 : 19

Present age of Sunita =  4x
Present age of Vinita  = 5x
6 yr hence, fraction numerator 4 straight x plus 6 over denominator 5 straight x plus 6 end fraction equals space 14 over 17
rightwards double arrow space space 68 straight x plus 102 space equals space 70 straight x plus 84
rightwards double arrow space space 68 straight x minus 70 straight x space equals space 84 minus 102
rightwards double arrow space minus 2 straight x space equals space minus 18
rightwards double arrow space space space space space straight x space equals space 18 over 2 space rightwards double arrow space space straight x space equals space 9
So, Present age of Sunita
                        = 4 x 9 = 36 yr
     Present age of Vinita  = 5 x 9 = 45 yr
   12 yr, hence  fraction numerator 36 plus 12 over denominator 45 plus 12 end fraction equals space 48 over 57
Required ratio = 16 : 19

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