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Let present age of father = x
and present age of son = y
Two years ago,
x - 2 = 3(y - 2)2 ..............1
Three years hence,
x + 3 = 4(y + 3) ............2
Now, from equation 2,
x = 4(y + 3) - 3
From equation 1,
=> 4(y + 3) - 3 - 2 = 3(y - 2)2
=> 4y + 12 - 5 = 3(y2 + 4 - 4y)
=> 4y + 7 = 3y2 + 12 - 12y
=> 3y2 + 12 - 12y - 4y - 7 = 0
=> 3y2 - 16y + 5 = 0
=> (y - 5)*(3y - 1) = 0
=> y= 5, 1/3
Since age can not be in fraction,
So y = 5
From equation 2,
x + 3 = 4(5 + 3)
=> x + 3 = 4*8
=> x + 3 = 32
=> x = 32 - 3
=> x = 29
So, present age of father = 29
and present age of son = 5
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