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

Y = T+3 (i)
T = H+2  (ii)
Y = 2*H  ()

T = H+2  therefore H = T-2

Substitute H=T-2 into (iii)
Y=2*H
Y=2*(T-2)
Y=2T-4

Now substitute that Y into (i)
(i) says Y = T+3
2T-4=T+3
2T-T-4=3
T-4=3
T=3+4
T=7

Then from (i) Y=T+3 = 7+3 =10
Y=10

And from (iii) Y=2*H
If Y = 10, then H = 5