Cho số $\overline {5x1y} $. Hãy tìm x và y để được số có 4 chữ số khác nhau chia hết cho 2, 3 và chia cho 5 dư 4.

Phương pháp giải

- Để số cần tìm chia cho 5 dư 4 thì chữ số tận cùng là 4 hoặc 9. - Tiếp tục dựa vào dấu hiệu chia hết cho 2 và 3 để tìm số thỏa mãn yêu cầu bài toán.

Lời giải của GV ufaindo.xyz

Để số $\overline {5x1y} $ chia 5 dư 4 thì y = 4 hoặc y = 9 Mà $\overline {5x1y} $ chia hết cho 2 nên y = 4. Ta được số $\overline {5x14} $ Để $\overline {5x14} $ chia hết cho 3 thì 5 + x + 1 + 4 chia hết cho 3. Suy ra x = 2 hoặc 8 Vậy các số thỏa mãn là 5214, 5814.

Báo lỗi - Góp ý

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