Aarav's mother was 3 times as old as Aarav 5 years ago. After 5 years she will be twice as old as Aarav. How old is Aarav today?

Let the present age of Aarav = $$a$$

Age of Aarav 5 years ago = $$a - 5$$

Aarav's mother was 3 times as old as Aarav 5 years ago.

$$\Rightarrow$$ Aarav's mother age 5 years ago = $$3\left(a-5\right)$$ = $$3a-15$$

Aarav's mother present age = $$3a-15+5$$ = $$3a-10$$

Aarav's mother age after 5 years = $$3a-10+5$$ = $$3a-5$$

According to the problem, after 5 years Aarav's mother is twice as old as Aarav

$$\Rightarrow$$  $$3a-5=2\left(a+5\right)$$

$$\Rightarrow$$  $$3a-5=2a+10$$

$$\Rightarrow$$  $$a=15$$

$$\therefore\ $$Aarav's present age = 15 years

Hence, the correct answer is Option B