Let, my mother's age = x years
Then, my age = 5x years.
Sum of both of our ages = 60 years.
Therefore, x + 5x = 60
or, 6x = 60
or, x = 60/6 = 10
Hence, my mother's age = 10 years. My age = 50 years.
The question given by you is wrong.
It should have been my mother is 5times of my age.