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 algebrically and graphically. Brainly moderator ⭐ Brainly stars⭐ step by step
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refer to the attachment
Answer:
→ Hey User,
→ Given 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" ( isn't this interesting) Represent this situation algebrically and graphically.
→ To find :- Represent this situation algebrically and graphically.
→ Solution :-
→ Let the actual age of Aftab be = years.
→ Let the actual age of daughter be = years.
→ According to 1 st condition :-
→ 7 years ago Aftab age = ( x - 7 )
→ 7 years ago Daughter age = ( y - 7 )
→ so , ( x - 7 ) = 7 ( y - 7 )
→ x-7 = 7y - 49
→ x-7y = - 49 + 7
→ [ x-7y = -42 ] ----------------- ( equation 1 )
→ According to second condition :-
→ The Age of Aftab after 3 years = ( x + 3 )
→ The Age of Daughter after 3 years = ( y + 3 )
→ so , ( x + 3 ) = 3 ( y + 3 )
→ x + 3 = 3y + 9
→ x - 3y = 9 - 3
→ [ x - 3y = 6 ] ------------------------- ( Equation 2 )
→ [ 1 st equation = x - 7y = -42 ]
→ [ 2nd equation = x- 3y = 6 ]
→ Is the answer.
→ Now , x - 7y = -42
→ Let x = 0
→ 0 - 7y = -42
→ -7y = ( after canceling thevalue remains 6 )
→ [ y = 6 ]
→ Now , Graph ( x ,y)
→ p ( 0 , 6 )
→ Let ( y = 0 )
→ x - 7 ( 0 ) = -42
→ x -0 = -42
→[ x = -42 ]
→ Again from second Equation :-
→ x-3y = 6 equation second
→ Let ( x = 0 )
→ 0 - 3y = 6
→ -3y = 6
→[ y = ] = [ y = -2 ] { ( 0,2) let 0 be point r }
→ Again ,
→ Let y = 0
→ x - 3y = 6
→ x -3 ( 0 )=6
→ x - 0 = 6
→ [ x = 6 ] 5 ( 6 ,0 )
hope it helps ,
thank you
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