The sum of the ages of a daughter and her mother is 56 years. After 4 years, the age of the mother will be three times that of the daughter. At present their ages are ?

Answer: Option B

Let daughter's age be $$x$$ years.
Then, mother's age = (56 $$-x$$) years
$$\begin{array}{rl}& \left(56-x\right)+4=3\left(x+4\right)\\ & \Rightarrow 60-x=3x+12\\ & \Rightarrow 4x=48\\ & \Rightarrow x=12\end{array}$$
∴ Daughter's age = 12 years
And the mother's age = (56 $$-$$ 12) = 44 years