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.


Let present age of Aftab = x


Let present age of daughter = y


Then, seven years ago


Age of Atab = x – 7


Age of Daughter = y – 7


According to the question,


=


=


=


Putting x = 5,6,7


X = 7×5 – 42 = 35 – 42 = -7


X = 7×6 – 42 = 42 – 42 = 0


X = 7×7 – 42 = 49 – 42 = 7


X



-7



0



7



Y



5



6



7



Three years from now ,


Age of Aftab = x+3


Age of Daughter = y+3


According to the question,


=


=


=


Putting , y = -2 , -1 ,0


X



0



3



6



Y



-2



-1



0



Algebraic representation,


from equation (i) and (ii)


=


=



Graphical representation ,


2
1