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Let the man's present age be x.
Let the son's present age by y.
ATQ-
x = y^2 - (1)
Man's age 1 year ago = (x - 1)
Son's age 1 year ago =(y - 1)
ATQ-
x - 1 = 8( y - 1)
x - 1 = 8y - 8
x = 8y - 7 - (2)
using (1) and (2)
x = y ^2
x= 8y - 7
8y - 7 = y^2
y^2 - 8y + 7 = 0
y^2 - 7y - y +7 =0
y(y - 7) -1(y - 7)
(y - 1) (y - 7)
y = 7
So-
Son's present age (y) = 7 years
Man's present age (y^2) = 49 years
Sorry if there is any error cuz this is my first answer kuddos ☺️
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