Teacher Wang gave prizes to students with excellent academic performance. If each person distributes 2 diaries, there will be 13 more diaries; if each person distributes 3 diaries, then 5 diaries will be lost. How many students are awarded?
王老师给品学兼优的学生发奖品．如果每人发2本日记本，则多出13本日记本；如果每人发3本日记本，则少5本日记本．获奖的学生有多少人？
<gadget id="calculator">13 + 5</gadget>
<output>18</output>

<gadget id="calculator">3 - 2</gadget>
<output>1</output>

<gadget id="calculator">18 / 1</gadget>
<output>18</output>

<result>18</result>