1. 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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Answers
Answer:
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Step-by-step explanation:
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ANSWER:-
Let present age of Aftab be x And, present age of daughter is represented by
Then Seven years ago,
Age of Aftab = x -7 Age of daughter = y-7
According to the question,
(x-7)=7 (y-7)
X-7=7y - 49
x- 7y = - 49 + 7 x - 7y=-42...(i)
x = 7y - 42
Putting y = 5, 6 and 7, we get
x=7 x 5-42 = 35-42=-7
x = 7 x 6-42 = 42-42=0
x = 7x7-42 = 49 - 42 = 7
x-707y567
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 = 9-3
x-3y = 6 ...(ii)
x = 3y + 6
Putting, y = -2,-1 and 0,
we get
x = 3 x 2 + 6 = -6 +6=0
x = 3x - 1+6=-3+6=3 x = 3 x 0 +6=0 +6=6
x036y-2-10
Algebraic representation From equation (i) and (ii) x - 7y=42...(i) x - 3y = 6 ...(ii)
I Hope It's Helpful OP :)
