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The image shows three mathematical problems in Romanian. Here's a translation and a breakdown of each problem:

**Problem 16:**
"Aflati cel mai mic număr natural nenul care împărțit la 8 dă restul 7 și împărțit la 10 dă restul 9."
- **Translation:** Find the smallest non-zero natural number which, when divided by 8, leaves a remainder of 7, and when divided by 10, leaves a remainder of 9.

**Problem 17:**
"Aflati cel mai mic număr natural nenul care împărțit la 10 dă restul 7 și împărțit la 12 dă restul 9."
- **Translation:** Find the smallest non-zero natural number which, when divided by 10, leaves a remainder of 7, and when divided by 12, leaves a remainder of 9.

**Problem 18:**
"Determinati toate numerele naturale cuprinse între 100 și 500 care împărțite la 18, 12 și respectiv 15 dau de fiecare dată restul 4."
- **Translation:** Determine all natural numbers between 100 and 500 that, when divided by 18, 12, and 15, leave a remainder of 4 in each case.

Let me know if you'd like me to solve any of these problems or if you need more details on any specific one!

Aflati cel mai mic număr natural nenul care împărțit la 8 dă restul 7 și împărțit la 10 dă restul 9.

This problem explores number theory concepts like modular arithmetic, focusing on finding the smallest number that satisfies conditions for modulo 8 and modulo 10. Suitable for high school students in Grades 10-12.

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