Question

Shobo's mother's present age is six times Shobo's present age. Shobo's age 5 years from now will be one third of his mother's present age. What are their present ages?

Answer 1

Hint: In order to solve this particular question, express the present age of Shobho as x. Express x in the form of his mother's present age from the question. Generate equations using the relation between their ages after 5 years and solve it to find the desired answer.

Complete step-by-step answer:
Let Shobo's present age be x
Shobo's mother's present age be 6x

After five years,

Shobo's age = $\dfrac{1}{3} \times$ Shobo's mother's present age
$ = \dfrac{1}{3} \times 6x = 2x$

According to the question

2x = x +5

$ \Rightarrow $ 2x - x = 5

$ \Rightarrow $ x = 5

Hence, Shobo's present age is 5.

Shobo's mother's present age is 6x = 6×5 = 30.

Hence Shobo's present age is 5yrs and the present age of mother will be 30yrs.

Note: It is important to learn how the equations are generated using the information given in the question. Keep in mind that this type of question needs a pragmatic approach before solving. Note that these types of questions can be checked for any miscalculation easily by putting the value of their ages in the equations.