ExamCompetition Your Success, Our Mission
Login Register
Question discussion

The average age of Sita and Gita is 30 years. If Rita replaces Sita, then the average age will become 28 years and if Rita replaces Gita, t…

188260Medium 1 reply 1,398 views
37
The average age of Sita and Gita is 30 years. If Rita replaces Sita, then the average age will become 28 years and if Rita replaces Gita, then the average age will become 32 years. What are the respective ages (in years) of Sita, Gita and Rita?
  • A40, 44, 36
  • B44, 40, 36
  • C34, 26, 30
  • D30, 26, 34
Answer not set
Join the discussion Report an error

Discussion 1

0
CCommunity
⇒ Sum of age of Sita and Geeta = average × 2 = 30 × 2

⇒ S + G = 60 ----(1)

⇒ Sum of age of Geeta and Rita = average × 2 = 28 × 2

⇒ G + R = 56 ----(2)

⇒ Sum of age of Sita and rita = average × 2 = 32 × 2

⇒ S + R = 64 ----(3)

Now, subtracting (2) from (1) we get

⇒ S – R = 4 ----(4)

Now, adding (3) and (4) we get,

⇒ 2S = 68

⇒ S = 34

Now,

⇒ R = 64 – S = 64 – 34 = 30

⇒ G = 56 – R = 56 – 30 = 26

∴ age of Sita, Gita and Rita is 34, 26 and .30 respectively