Question

Help. Gasiti numerele abc, stiind ca a-1=b-2=2c. Multumesc.

Answer 1

Explicație pas cu pas:

$a - 1 = 2c \implies a = 2c + 1$

$b - 2 = 2c \implies b = 2(c + 1)$

$0 \leqslant b \leqslant 9 \iff 0 \leqslant 2(c + 1) \leqslant 9 \\ \implies 0 \leqslant c \leqslant 3$

$c = 0 \iff a = 1 \iff b = 2 \implies \bf \overline {abc} = 120 \\ c = 1 \iff a = 3 \iff b = 4 \implies \bf \overline {abc} = 341 \\ c = 2 \iff a = 5 \iff b = 6 \implies \bf \overline {abc} = 562 \\ c = 3 \iff a = 7 \iff b = 8 \implies \bf \overline {abc} = 783$