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.
Solution:
Let present age of Aftab = x years
Let present age of Aftab’s daughter = y years
7 years ago, age of Aftab = (x-7) years
7 years ago, age of Aftab’s daughter = (y-7) years
According to given condition, we have
(x-7) = 7(y-7)
(1)
After 3 years from present, age of Aftab = (x+3) years
After 3 years from present, age of Aftab’s daughter = (y+3) years
According to given condition, we have
(x+3) = 3(y+3)
(2)
So, we have equations (1) and (2)
and
which represent given situation algebraically.
To represent them graphically, we will find 3 sets of points which lie on the lines.
We plot the points for both of the equations and it is the graphical representation of the given situation.
(Blue) and
(Red)
riya says
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Usman Islam says
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reine says
i think there is a mistake
it must be 7(x-y)=y-7
cause aftabs age is seven times as old as his daughter
amazing website glad i found it . keep going
Jashan says
@reine, your equations are not right. Aftab was 7 times old as his daughter. That is why you need to multiple age of Aftab’s daughter by 7 to make them equal and form an equation.
kush says
very helpful