Hema's age is $5$ years more than twice Hari's age. Suresh's age is $13$ years less than 10 times Hari's age. If Suresh is $3$ times as old as Hema, how old is Hema?
Let Hema's age be $x,$ Hari's age be $y$ and Suresh's age be $z.$
According to the question:
From $(2)$ and $(3)$ we get
Solving equations $(1), \ (4)$ and $(3)$ we get $x=19,\ y=7$ and $z=57.$
Hema's age $x=19$
So, the correct answer is $(D).$