Question

Daca a+b+c=12, calculati abc+bca+cab (numerele sunt in baza 10

Answer 1

$a + b+c= 12 \\ \frac{}{abc} + \frac{}{bca} + \frac{}{cab} = (100*a+10*b+c) + (100*b + 10*c + a) + (100*c + 10*a + b) = a(100 + 1 + 10) + b( 100 + 1 + 10) + c(100 + 1 + 10) = a*111 + b*111 + c*111 = 111( a + b + c) = 111* 12 = 1332$