Question

1. Aftab tells his daughter, "Seven years ago, I was seven times as old as you were then.
Also, three years from now, I shall be three times as old as you will be." (Isn't this
interesting?) Represent this situation algebraically and graphically.
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Answer 1

Answer:

...............???......?

Answer 2

Let the fathers age be x years and his son be y years.

Therefore, seven years ago, age of father =  (x-7) 

and age of son = (y - 7)

According to the given condition,

x-7 =7(y-7) 

or x-7y = -42 ...(1)

After 3 years, fathers age = x+3  and

 son's age = (y+3)

As per given condition,

 x+3 = 3(y+3) 

 x-3y = 6 ...(2)

ON subtracting (2) from (1), we get

x - 7y - (x -3y) = -42 - 6

⇒ -4y = -48

⇒ y = 12

On putting value of y in (2), we get

x - 3(12) = 6

⇒ x = 6 + 36 = 42

Hence, present father's age = 42 years

and present son's age = 12 years.