If one year ago, the ratio of Honey and Piyush age was $2:3$ respectively. After five years from now, this ratio becomes  $4:5$ then now Piyush age is 

Given that

Age ratio of Honey  $:$ Piyush  $=2:3$

Honey’s age $=2x$

Piyush’s age $=3x$

One year ago, their age was $2x,3x$

Hence at present

Honey’s age $=2x+1$

Piyush’s age $=3x+1$

After 5 years

Honey’s age $(2x+1)+5=2x+6$

Piyush’s age $(3x+1)+5=3x+6$

After 5 years this ratio becomes $4:5$

$\begin{array}{l}\frac{2x+6}{3x+6}=\frac{4}{5}\\ 10x+30=12x+24\\ 2x=6\\ x=3\end{array}$

$\therefore$Now Piyush age $=3x+1$

$=3\left(3\right)+1$

$=10\text{\hspace{0.17em}\hspace{0.17em}years}$