Question
'Aman' is 4 years younger than 'Bharti', and 'Bharti' is
8 years younger than 'Chetna'. If the ratio of 'Aman's age 8 years from now to 'Chetna's age 6 years ago is 10:9, then the percentage by which 'Bharti's age will exceed or be less than the average present age of 'Aman' and 'Chetna' combined, 20 years from now.Solution
 ATQ, Let present age of 'Bharti' be 'a' years Therefore, present age of 'Aman' = (a - 4) years Present age of 'Chetna' = (a + 8) years According to the question, {(a - 4 + 8) /(a + 8 - 6) } = (10/9) Or, 9a + 36 = 10a + 20 Or, 'a' = 16 Therefore, age of 'Bharti', 20 years hence from now = a + 20 = 16 + 20 = 36 years Average present age of 'Aman' and 'Chetna' = {(a - 4 + a + 8) /2} = {(2a + 4) /2} = (a + 2) = 16 + 2 = 18 years Required percentage = {(36 - 18) /18} × 100 = 100%
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