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Let age of son 6 years before be x
then mother's age = x 2
then, persent age son =x+6
mothers age =x 2+6
After 3 year,
son =x+6+3=x+9
mother =x 2 +6+3=x 2 +9
A.T.Q
x 2+9=3(x+9)
x 2 +9=3x+27
x 2−3x−18=0
x 2 −6x+3x−18=0
x(x−6)+3(x−6)=0
(x+3)(x−6)=0
x=6 (-3 will neglect)
Persent age of mother = x 2 +6⇒36+6=42
Son = x+6=6+6=12
Step-by-step explanation:
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