Question

imapartind un numar natural x la un numar natural y obtinem catul 3 si restul 19 a)calculati 2*X-6*y+3;b)aratati ca X +y>95;c)aflati x si t,daca x-y<61

Answer 1

x:y=3 rest 19 =>x=3y+19
a)2x-6y+3=2(3y+19)-6y+3
                =6y+38-6y+3
                =41

b)x+y=3y+19+y
         =4y+19
4y+19>95 =>4y>76 =>y>19
=>x+y>95 adevarat (pentru ca 4y+19>95)

c)x-y<61
3y+19-y<61 =>2y<61-19 =>2y<42 =>y<21 si x<82