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The ratio of present ages of R and S is 11 : 17. Before 11 years, the ratio of their ages was 11 ∶ 20. What is R's present age (in years)?
- A51
- B33
- C22
- D40
Answer not set
Discussion 1
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CCommunity
Let the present age of R be r and S be s
According to the problem statement
⇒ r/s = 11/17
⇒ s = 17r/11 ----(1)
According to the problem statement 11 years ago,
⇒ (r - 11)/(s - 11) = 11/20
⇒ 20r - 220 = 11s - 121 Using (1)
⇒ 20r - 17r = 99
⇒ r = 99/3 = 33
∴ R’s present age is 33 years
According to the problem statement
⇒ r/s = 11/17
⇒ s = 17r/11 ----(1)
According to the problem statement 11 years ago,
⇒ (r - 11)/(s - 11) = 11/20
⇒ 20r - 220 = 11s - 121 Using (1)
⇒ 20r - 17r = 99
⇒ r = 99/3 = 33
∴ R’s present age is 33 years