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 ,
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