A mother is 4 times as old as her daughter. After 4 years her age will be 3 times that of her daughter. What is the mother's present age?

20 years  28 years 32 years 36 years

32 years

Let the age of daughter  = x  Age of mother = 4x   after 4 years , according to question    3 ( x + 4 ) = 4x + 4 3x + 12 = 4x + 4 x = 8 years  therefore age of mother = 8 × 4 = 32 years