# The sum of the ages (in years) of a son and his father is 35 and the product of their ages is 150. find their ages.

2
by dweejareddy

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by dweejareddy

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x*y=150

x=150/y

150/y+y=35

150+y^2=35y

y^2 -35y+150=0

(y-5 ) (y-30)

y=5

son's age=5

nd father's age=30

x*y=150

x=150/y

150/y+y=35

(150+y*y)/y=35

y*y-35y+150=0

y*y-30y-5y+150=0

y(y-30)-5(y-30)=0

y=5;x=30

Therefore,age of son=5;father=30