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 the present age of Aftab and his daughter be x and y respectively.
Seven years ago, Age of Aftab = x – 7 and Age of his daughter = y – 7
According to the given condition,

= x - 7 = 7(y - 7)

= x - 7 = 7y - 49

=x = 7y - 42 ...............(i)

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,
= x + 3 = 3(y + 3)
=x + 3 = 3y + 9
=x = 3y + 6 ............(ii)
Putting , y = -2 , -1 ,0

x 0 3 6
y -2 -1 0

Algebraic representation,
 from equation (i) and (ii)

x = 7y - 42 ...............(i)

x = 3y + 6 ............(ii)

Graphical representation ,

one variable

 

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