SOLUTION: joan is three times as old as her son richard. ten years from now, joan will be two times as old as richard. how old are they now?

Question 1199803: joan is three times as old as her son richard. ten years from now, joan will be two times as old as richard. how old are they now?
Answer by ikleyn(52781) (Show Source): You can put this solution on YOUR website!
.


 x = the son current age;

3x = Joan current age.


In 10 years from now

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

    3x + 10 = 2x + 20

    3x - 2x = 20 - 10

       x    =    10.


ANSWER.  The son is 10 years old.  Joan is 3*10 = 30 years old.

Solved.

RELATED QUESTIONS
Gary is today 5 times as old as Joan. Two years later, he will be 4 times as old as... (answered by josmiceli)

Joan is three times as old as Anne. Fifteen years from now Joan will be twice as old as... (answered by stanbon)

Mother is three times as old as her son. Ten years from now, mother will be two times as... (answered by fractalier)

six years ago Jun was 4 times as old as Joan. In four years, he would be twice as old as (answered by sudhanshu_kmr)

Ann is now seven times as old as Joan. In six years, Ann will be five times as old as... (answered by stanbon)

A woman is six times as old as her son. In 9 years she will be three times as old as her... (answered by srinivas.g)

sherry is fives times as old as her son. In five years she will only be three times as... (answered by addingup)

A mother is three times as old as her son. In 18 years time, she will be twice as old as... (answered by ikleyn,MathLover1,MathTherapy)