Question 64

Karan, Arjun, Preeti, Priya and Ashish are travelling in a car. Three years ago, the average age of Arjun, Preeti and Priya was 42 years. If the present age of Karan is 65 years and the present average age of all five is 50 years, then what is the present age of Ashish?

Solution

Let Ashish's present age = $$x$$ years

Average age of Arjun, Preeti and Priya 3 years ago = 42 years

=> Sum of present ages of Arjun, Preeti and Priya = $$(42+3)\times3=45\times3=135$$

Present age of Karan = 65 years

Average present age of all  five persons = 50 years

=> Total age of five persons = $$50\times5=250$$ years

=> $$x+65+135=250$$

=> $$x=250-200=50$$ years

=> Ans - (A)


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