Rajan got married 10 years ago. His present age is (6/5) times of his age at the time of his marriage. Rajan's sister was 10 years younger to him at the time of his marrige. The present age of Rajan's sister is = ?

Question: Rajan got married 10 years ago. His present age is (6/5) times of his age at the time of his marriage. Rajan's sister was 10 years younger to him at the time of his marrige. The present age of Rajan's sister is = ?

Solution:
Present age of Rajan is = x year

x = (6/5) (x - 10)
⇒ 5x = 6x - 60
⇒ 6x - 5x = 60
⇒ x = 60 years

at time of marriage, rajan's age is 60 - 10 = 50 years
at time of marriage, rajan's sister age is = 50 - 10 years = 40 years

∴ The present age of rajan's sister age is = 40 + 10 = 50 year