Question

Aftab tells his daughter seven years ago as old as you were then also three years from now i shall be 3 times as old as he will be then represent the situation graphically

Answer 1

Answer:

Step-by-step explanation:

Answer 2

$\Large{\underline{\underline{\bf{Given:-}}}}$

Aftab tells his daughter," seven years ago, I was seven times as old as you were then. Also three years from now, shall be three times as old as you will be."

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$\Large{\underline{\underline{\bf{To\: do:-}}}}$

Representation of situation algebraically and graphically.

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$\Large{\underline{\underline{\bf{Solution:-}}}}$

Let the present age of Aftab be 'x' years

And, present age of his daughter be 'y' years

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★${\bold{\underline{\underline{Seven\: years\: ago:-}}}}$

Age of Aftab = x = 7 years

Age of his daughter = y + 7 years

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★${\bold{\underline{\underline{According\: to \: the \: Question:-}}}}$

$⟹(x + 7) = 7(y - 7) \\ \\ ⟹x - 7 = 7y - 49 \\ \\⟹ x - 7y = - 42........(i)$

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★${\bold{\underline{\underline{Three \: years \: hence,:-}}}}$

Age of Aftab = x + 3 years

Age of his daughter = y + 3 years

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★${\bold{\underline{\underline{According\: to \: the \: Question:-}}}}$

$⟹(x + 3) = 3(y + 3) \\ \\ ⟹x + 3 = 3y + 9 \\ \\⟹ x - 3y = 6........(ii)$

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${\bold{\underline{\underline{Therefore\: the \: algebraic\: representation \: is:-}}}}$

†For x = -42 + 7y

A(-7 , 5) , B(0 , 6) , C(7 , 7)

†For x = 6 + 3y

P(0 ,0) , Q(3 , -1) , R(0 , -2)

${\bold{\underline{\underline{Graphically\: representation\: of \: this\: is \: in \: the \: given\: attachment:-}}}}$

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$\Large{\underline{\underline{\bf{Thanks}}}}$