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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.

Q1.    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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Let x be the age of Aftab and y be the age of his daughter

Now, According to the question,

(x-7)=7\times(y-7)

\Rightarrow x-7=7y-49

\Rightarrow x-7y=-42.....(1)

Also,

(x+3)=3(y+3)

\Rightarrow x+3=3y+9

\Rightarrow x-3y=6.....(2)

Now, let's represent both equations graphically,

From (1), we get

y=\frac{x+42}{7}

So, Putting different values of x we get corresponding values of y 

X 0 7 -7
Y 6 7 5

 

And From (2) we get,

y=\frac{x-6}{3}

So, Putting different values of x we get corresponding values of y 

X 0 3 6
Y -2 -1 0

GRAPH:

Graph X-Y

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