SOLUTION: Jack is nine years older than Tina. Jack is four times as old as Ali was three year ago. Ali is eighteen years younger than Jack. how old is tina

Question 1129966: Jack is nine years older than Tina. Jack is four times as old as Ali was three year ago. Ali is eighteen years younger than Jack. how old is tina
Found 2 solutions by josmiceli, KMST:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = Jack's age now
Let = Tina's age now
Let = Ali's age now
----------------------------------
(1)
(2)
(3)
--------------------------
Substitute (3) into (2)
(2)
(2)
(2)
(2)
and
(3)
(3)
and
(1)
(1)
------------------------
Tina is 19
------------------------
check:
(2)
(2)
(2)
(2)
and
(3)
(3)
(3)
and
(1)
(1)
(1)
OK
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
= Tina's age 19
= Jack's age, because "Jack is nine years older than Tina."
= Ali's age, because "Ali is eighteen years younger than Jack."
= how hold Ali was the years ago
= Jack's age, because "Jack is four times as old as Ali was three year ago."
We see that Jack's age is and , so
is our equation.
Adding to both sides of the equation,
,
and "collecting like terms" and simplifying, we get

Dividing both sides of the equation by 3, we get
, which simplifies to
.

So, Tina is ;
Jack is ;
Ali is ;
3 years ago Ali was ,
and Jacks age is four times as much as that: .
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