Question

1) Doua numere au suma 30. Daca le impartim obtinem catul 6 si restul 2 .Care sunt cele 2 numere?

2)Doua nr. au suma 62. Daca le impartim obtinem catul 7 si rest 6.
Care sunt cele 2 nr.?

Answer 1

a+b=30
a:b=6 rest 2
a=6xb+2
6xb+2+b=30
7b=30-2
7b=28
b=28:7=4
a=6xb+2=6x4+2=24+2=26
26+4=30(verificare)

a+b=62
a:b=7 rest 6
a=7xb+6
7xb+6+b=62
8b+6=62
8b=62-6
8b=56
b=56:8=7
a=7xb+6=7x7+6=49+6=55
55+7=62(verificare)

Answer 2

a+b=30; a:b=6 rest 2 , deci a=6b+2 , acum inlocuim in suma: 6b+2+b=30 , 7b+2=30 , 7b=28 ,b=28:7 , b=4; a=6*4+2=26; si a doua problema : a+b=62 , a:b= 7 rest 6, deci a=7b+6, acum inlocuim in suma : 7b+6+b=62 ; 8b+6=62; 8b=62-6=56 ; b=56:8=7 iar a= 7*7+6=49+6=55; verificare 55+7=62