Math Problem Statement
Solution
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.
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Math Problem Analysis
Mathematical Concepts
Number Theory
Modular Arithmetic
Formulas
x ≡ 7 (mod 8)
x ≡ 9 (mod 10)
Theorems
Chinese Remainder Theorem
Suitable Grade Level
Grades 10-12
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