SOLUTION: Yanira is 3 years older than Tim and twice as old as Hannah. Tim is 2 years older than Hannah. How old are yanira Tim and Hannah?

Let Hannah be H years old.

Then Yanira is 2H years old        ( "Yanira is twice as old as Hannah")

and Tim is (2H-3) years old,       "Yanira is 3 years older than Tim")

according to the condition.


Also, from the last condition you have this equation


    2H-3 = H + 2.


Simplify and solve for H:

    H = 2 + 3

    H = 5.


Answer.  Hannah is 5 years old;  Yanira is 2*5 = 10 years old;  Tim is 2*5-3 = 7 years old.

PERSON         AGE
Yanira          Y
Tim            Y-3
Hannah         (1/2)Y