A cricket team won $3$ matches more than they lost. If a Win gives them $2$ points and Loss $(-1)$ point, how many matches, in all, have they played if their score is $23$?

Let the number of matches lost by the team be $L$.
Then, the number of matches won by the team is $W=L+3$.

Each win awards $2$ points and each loss penalizes $1$ point ($-1$). The total score is $23$:

$$2W-1L=23$$

Substitute $W=L+3$ into the equation:

$$2(L+3)-L=23$$

$$2L+6-L=23$$

$$L+6=23$$

$$L=17$$

The number of losses is $17$, so the number of wins is:

$$W=17+3=20$$

The total number of matches played is:

$$\text{Total Matches}=W+L=20+17=37$$