math 7 accelerated
posted by tom .
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?
Explain how you did the problem and the answer.

Tim's age  x
Yanira's age  x+3
Hannah's age = (1/2)(x+3)
Tim is 2yrs older than Hannah
> x = (1/2)(x+3) + 2
times 2
2x = x+3 + 4
x = 7
So Tim is 7
Yanira is 10
Hannah is 5
All conditions are met.