SOLUTION: tyrone is twice as old as his daughter.in sox years tyrone's age will be three times what his daughter's age was six years ago.how old are they at present?

Algebra ->  Systems-of-equations -> SOLUTION: tyrone is twice as old as his daughter.in sox years tyrone's age will be three times what his daughter's age was six years ago.how old are they at present?      Log On


   



Question 118927: tyrone is twice as old as his daughter.in sox years tyrone's age will be three times what his daughter's age was six years ago.how old are they at present?
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
Let's say the daughter is x years old today. That means that Tyrone is 2x years old today.

Six years from now, Tyrone will be 2x + 6 years old.

Six years AGO, the daughter was x - 6 years old, and six years from now, Tyrone will be 3 times that.

So the situation six years from now is that 2x%2B6=3%28x-6%29.

Solving:
2x%2B6=3x-18
2x-3x=-18-6
-x=-24
x=24, and now we know that the daughter is 24 years old today. That means that Tyrone is 48 years old today.

Check:
2%2824%29%2B6=48%2B6=54
3%2824-6%29=3%2818%29=54, answer checks.