Suppose x years later the father will be twice as old as his son.
? x + 41 = 2 (x + 16)
? x = 41 - 32 = 9 years
Let the age of B be N years
According to the question
? N + 20 = 6N
? N = 4 years
? A's age = 4 x 6 = 24 years and B's age = 4 years
Let the son's present age be x years
Then, (x + 4 ) + (4x + 4) = 43
? 5x = 35
? x = 7 years
Let Ajay's age 10 years back be x years.
Then Sachin's age 10 years back = 2x years
? 2x + 20 = 40
? x = 10
? Present age of Ajay = x + 10 = 20 years
Let Ashok's age = 4x years and Pradeep's age = 3x years
From question, 4x + 6 = 26
? x = 5
&ther4; Pradeep's age = 3x = 15 years.
? 3x + 5x = 80
? x = 10
Ratio of their ages after 10 years = (3x + 10) : (5x + 10) = 40 : 60 = 2 : 3
Let the age of A be (x - 3) years
? B's age = x years
? C's age = (x - 3) + 2 = x - 1
? B's age - C's age = x - (x - 1) = 1 year
? B is one year older then C.
Let B;s age 2 years ago be N years
? A's present age = 2N years
From question, 2N - (N + 2) = 2
? N = 4
? A's age = 2 x 4 = 8 years
Let my present age be x years.
? x - 20 = x / 3
? 3x - 60 = x
? 2x = 60
? My present age = x = 30 years
Length of the train = 280 m
Length of the platform = 280 x 3 = 840 m
Taken time = 6 min 40 s = (360 + 40) s = 400 s
? Required speed = Distance / Time = (840 + 280)/400
= 1120/400 = 2.8 m/s
Required ratio = (36 - 8)/(24 - 8) = 28/16 = 7 : 4
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