Question

afla nr. de trei cifre consecutive care adunat cu rasturnatul sau dă suma 666

Answer 1

Notam:
abc numarul de 3 cifre consecutive
b = a + 1
c = a + 2

abc + cba = 666
100 × a + 10×b + c + 100×c+10×b+a = 666
101×a + 20×b + 101×c = 666
101×a + 20×(a+1) + 101×(a+2) = 666
101×a + 20×a +20 +101×a +202 = 666
222×a + 222 = 666
222×a = 666 - 222
222×a = 444
a = 2
b = 2+1=3
c = 2+2=4

abc = 234 (numarul)
cba = 432

234 + 432 = 666