Tìm số có 4 chữ số thoả mãn điều kiện

📝 Problem

Tìm số có 4 chữ số biết rằng $\overline{abcd} + \overline{abc} + \overline{ab} + \overline{a} = 2024$.

✨Detailed Solution

Ta có: $\overline{abcd} + \overline{abc} + \overline{ab} + \overline{a} = 2024$.

$1000a + 100b + 10c + d + 100a + 10b + c + 10a + b + a = 2024$

$1111a + 111b + 11c + d = 2024$

Vì a \le 1a = 1$.

🔒 9 steps remaining

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Ta có: $\overline{abcd} + \overline{abc} + \overline{ab} + \overline{a} = 2024$.

$1000a + 100b + 10c + d + 100a + 10b + c + 10a + b + a = 2024$

$1111a + 111b + 11c + d = 2024$

Vì a \le 1a = 1$.

🔒 9 steps remaining