Answer:
Dia's age is 6.
Step-by-step explanation:
Tia's age= d
Dia's age= d-6
Therefore, after 10 years,
Dia's age= 2/3 Tia's age
Hence,
d-6+10=2/3(d+10)
d+4=2/3(d+10)
3/2(d)+4=d+10
3/2(d)-d=10-4
3d/2-2d/2=6
d/2=6
1/2(d)=6
d=6×2
d=12
Therefore,
Dia's age=d-6
=12-6
=6 yrs old
