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Suppose, the age of the son six year
before was x
. mother’s age six year before was x²
. present age of the son is (x + 6) and
present age of the mother is (x² + 6)
Three years hence, son’s age will be (x
+ 9) and mother’s age will be (x² + 9)
by given condition,
x² + 9 = 3(x + 9)
“x²-3x+9-27=0
x² -3x-18=0
. (x - 6) (x + 3) =0
X=6 0r x=-3
But age cannot be negative -. x is not equal to -3 )
-. sons present age =x+6= 6+6 =12
years.
mother's present age = x² + 6 = 36+ 6
= 42 years.
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