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. Represent this through substitution method
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Let the present age of Aftab's daughter =x years. and the present age of Aftab =y years, (y>x)
According to the given conditions, we have
Seven years ago,
(y−7)=7×(x−7)
⇒y−7=7x−49
⇒7x−y−42=0 ...(i)
Three years later,
(y+3)=3×(x+3)
⇒y+3=3x+9
⇒3x−y+6=0 ...(ii)
Thus, the algebraic relations are
7x−y−42=0,3x−y+6=0.
Now, we represent the problem graphically as below: 7x−y−42=0 ...(i)
3x−y+6=0 ...(ii)
From the graph, we find that
x=12
and y=42
Thus, the present age of Aftab's daugther =12 years and the present age of Aftab =42 years.
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51 is the answer
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