EXERCISE 3.
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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Answer:
Step-by-step explanation:
Let the age of Aftab be x yrs.
Let age of his daughter be y yrs.
ATQ,
=> (x-7) = 7(y-7)
=> x-7 = 7y-49
=>x-7y = -42 -----------(1)
=> (x+3) = 3(y+3)
=> x+3 = 3y+9
=> x-3y = 6 -------------(2)
From eqn 1
=> x-7y = -42
=> x = -42+7y
Substituting the value of x from eq 1 in eq 2
=> x-3y = 6
=> -42+7y -3y = 6
=> 4y = 48
=> y = 12
Therefore, x = -42+7(12)
=> x = -42+ 84
=> x = 42
Therefore, Age of Aftab is 42 yrs.
Age of his daughter is 12 yrs.
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