SOLUTION: Billy is twice as old as his son. in 10 years, the ratio of their ages will be 3:5. find their present ages

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Question 636507: Billy is twice as old as his son. in 10 years, the ratio of their ages will be 3:5. find their present ages
Found 2 solutions by ewatrrr, sachi:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

Billy is twice as old as his son's agehighlight%28x%29 ( Billy's age now being 2x)

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

Question states***

 +%28x%2B10%29%2F%282x+%2B+10%29+=+3%2F5  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

   30%2F50+=+3%2F5

Answer by sachi(548) About Me  (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