Step-by-step explanation:
Let the present age of son be x years
Therefore, mother's age = 3x years
11 years after:
Son's age = (x + 11) years
Mother's age = (3x + 11) years
According to the given condition:
3x + 11 = 2 (x + 11)
[tex] \therefore \: 3x + 11 = 2x + 22 \\ \therefore \: 3x - 2x = 22 - 11 \\ \therefore \: x = 11 \\ \implies \: 3x = 3 \times 11 = 33 \\ thus \\ Present \: age \: of \: mother = 33 \: years \\ Present \: age \: of \: son= 11 \: years \\ [/tex]
