2. The sum of ages ( in years) of a son and his father is
35 years and product of ages is 150 years, Find the ages.
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Let the father and his son's age be 'X' yrs and 'Y' yrs respectively.
X+Y=35
x×Y=150
X=
Y
150
Y
150
+Y=35
150+Y
2
=35Y
Y
2
−35Y+150=0
(Y−5)(Y−30)=0
Y=5
∴ the son's age (Y) = 5 yrs and father's age (X) = 30 yrs.
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