Question
Two years ago, the combined ages of Armaan and Bikash
equaled Chetna's age at that time. Ten years ago, Armaan was twice as old as Bikash. If, in five years, the total age of Armaan and Chetna will be 58 years, what is the present age (in years) of Bikash?Solution
ATQ, 10 years ago, let the age of ‘Bikash’ = ‘x’ years 10 years ago, age of ‘Armaan’ = 2x years 2 years ago, age of ‘Armaan’ = (2x + 8) years 2 years ago, age of ‘Bikash’ = (x + 8) years 2 years ago, age of ‘Chetna’ = (2x + 8) + (x + 8) = (3x + 16) years 5 years in the future, age of ‘Armaan’ = (2x + 15) years 5 year in the future, age of Chetna = (3x + 23) years Given that 2x + 15 + 3x + 23 = 5x + 38 = 58 Or, 5x = 20 Or, x = 4 Hence, current age of Bikash = x + 10 = 14 years
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