Puzzle 59 - How old is he?

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Puzzle 1 : When asked his age, Jack tells that "In 2 years I will be twice as old as I was six years ago". How old is Jack now?


Puzzle 2: James  was  asked how old he is.  James said: “Five
years ago my Dad was five times older than me, but now he is only three times
older!” How old is James and how old is his father?


Solutions : 

1. If Jack's age is x, then

   x+2 = 2*(x-6)

   x+2 = 2x-12

2+12= 2x-x 

x = 14

Jack is 14 years old now.


2. If James's age is x and his father's age is y,

x*3 = y

and  (x-5)*5 = y-5

Substituting y with 3x in the above equation, we get

5x - 25 = (3x) - 5 

2x = 25 - 5 = 20

x = 10 and y = 30

So James is 10 years old and his father is 30 years old. 


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