Hi,

Billy is twice as old as his son's age ( Billy's age now being 2x)

in 10 years, the ratio of their ages will be 3:5

Question states***

   Cross Multiplying to solve for x

   5(x+10) = 3(2x+10)

   5x + 50 = 6x + 30

        20 = x, son' age NOW, Billy is NOW 40

and...in 10 years

    

Answer by sachi(548)   (Show Source): You can put this solution on YOUR website!
 let the age of the son be x

and the age of Billy be 2x

  after 10 years

 the ratio of their ages will be 3:5

 then (x+10)/(2x+10) =3/5

 or 3(2x+10)=5(x+10)

 or 6x+30=5x+50

 or 6x-5x=50-30

 or x=20 son's age

 So Billy is 2x=2*20=40 years ans

    

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