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the son age is 12 and father age is 42
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let age of son = s yrs.
age of father = f yrs.
at present , s + f = 54.
s = 54 - f
two yrs ago , age of son = s-2 yrs
age of father = f-2 yrs
so , (s-2)×(f-2) = 400
put value of s in this equation
(54 - f -2) × (f-2) = 400
52f -f^2 -104 +2f = 400
f^2 - 54f + 504 = 0
f^2 - 12f - 42f + 504 =0
f(f-12) - 42(f-12) =0
( f-12) × (f-42) = 0
so , f= 12 & f=42
as s =54 - f = 54 -42 = 12 {age of father can't be less than age of son , so we take f = 42 }
age of father = 42 yr
age of son = 12 yr
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