Question

4. Aflati numarul natural ab (cu bara deasupra) daca prin impartirea lui ab ( cu bara deaspura) la ( a -b ) se obtine catul 14 si restul 2

Answer 1

ab : (a-b) = 14 rest 2
ab = 14(a-b)+2
10×a + b = 14×a-14×b+2
b+14×b=14×a-10×a+2
15×b=4×a+2
daca b=2 ==> a =(15×2-2):4 ==>a = (30-2):4 ==>a =28:4 ==>a = 7
ab = 72

verificare:
72: (7-2) = 72:5 = 14 rest 2 (adevarat)