Question

2abc :17 = abc

Answer 1

2abc : 17 = abc

2abc = abc . 17

2000 + 100a + 10b + c = (100a + 10b + c) . 17

2000 + 100a + 10b + c = 1700a + 170b + 17c 

1600a + 160b + 16c = 2000

a = 1; b = 2; c = 5

Answer 2

$\overline{2abc} : 17 = \overline{abc}$
$⇔ 2000 + \overline{abc} = 17 \overline{abc}$

$⇔ 2000 = 17 \overline{abc} - \overline{abc} = 16 \overline{abc}$
$⇔ \overline{abc} = 2000 : 16 = 125$

Vậy số abc cần tìm là 125