A is 5 years older than T. In 3 years, T will be 2/3 A age. How old is A?

12 years

Step-by-step explanation:

T + 5 = A

Therefore T = A - 5

In three years T = 3 + (A-5)

thus T = A - 2

Also in three years T = 2/3 (A+3)

Equating the two

A - 2 = 2/3 (A+3)

3A - 6 = 2A + 6

3A - 2A = 6 + 6

Therefore A = 12