Answer:
Present age of A = 16 years
Present age of B = 12 years
Step-by-step explanation:
Let the age of B be x years.
Therefore, age of A = (x + 4) years
Four years ago:
Age of A = (x + 4 - 4) = x years
Age of B = (x - 4) years
According to the given information:
[tex] \frac{x}{x - 4} = \frac{3}{2} \\ \\ 2x = 3(x - 4) \\ \\ 2x = 3x - 12 \\ \\ 2x - 3x = - 12 \\ \\ - x = - 12 \\ \\ x = 12 \\ \\ x + 4 = 12 + 4 = 16 \\ \\ present \: age \: of \: a = 16 \: yeras \\ \\ present \: age \: of \: b = 12 \: years \\ [/tex]
