Question:
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". Is not this interesting? Represent this situation algebraically and graphically.
Solution:
Let age of Aftab is $x$ years and age of his daughter is $y$ years. 7 Years ago his age was 7 times older as her daughter was. Then
$\Rightarrow y-7=7(x-7)$
$\Rightarrow y-7=7 x-49$
$\Rightarrow y-7 x+42=0$ ...(1)
Three years from now, he will be three times older as his daughter will be, then
$\Rightarrow y+3=3(x+3)$
$\Rightarrow y+3=3 x+9$
$\Rightarrow y-3 x-6=0$ $.(2)$
Hence the algebraic representation are $y-3 x-6=0$ and $y-7 x+42=0$
