Tìm một số tự nhiên, biết rằng nếu xóa đi 2 chữ số cuối thì số đó giảm đi 4491 đơn vị.

Phương pháp giải

- Viết biểu thức theo đề bài - Áp dụng cách phân tích cấu tạo số để giải bài toán

Lời giải của GV ufaindo.xyz

Gọi số cần tìm là $\overline {abcd} $. Xóa đi chữ số hàng chục và hàng đơn vị được số $\overline {ab} $. Theo đề bài ta có: $\overline {abcd} - \overline {ab} = 4491$ $\overline {ab} \times 100 + \overline {cd} - \overline {ab} = 4491$ $\overline {cd} + \overline {ab} \times \left( {100 - 1} \right) = 4491$ $\overline {cd} + \overline {ab} \times 99 = 4491$ Ta có 4491 : 99 = 45 (dư 36) Hay 4491 = 45 x 99 + 36 Vậy ab là 45, cd là 36 Vậy số cần tìm là 4536 Đáp số: 4536

Báo lỗi - Góp ý

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