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    The age of Ranjana and Rakhi are in the ratio of 15:17 respectively. After 6 years, the ratio between the ages of Ranjana and Rakhi will be  9:10. What will be the age of Ranjana after 6 years

  • Other than those given as options
  • 40 years
  • 34 years
  • 30 years
  • 36 years
  • Explanation:

    Let the age of Ranjana = 15x

    Age of Rakhi = 17x

    According to question,

    15x+6/17x+6=9/10

    ⇒ 150x+60=153x+54

    ⇒ 3x=6 ⇒ x=2 years

    ∴ The age of Ranjana after 6 years

    =15x+6=15×2+6

    =30+6=36 years