Question

Daca impartim un numar la altul obtinem catul 5 si restul 2. Aflati numerele daca sunt indeplinite pe rand conditiile:
A. Suma celor doua numere este 50
B. Diferenta celor doua numere este 50

Answer 1

a,b-nr.
a:b=5 r 2
a=b×5+2
a=5b+2
A.a+b=50
5b+2+b=50
5b+b=50-2
6b=48
b=48:6
b=8
M1)a=5b+2
a=5×8+2
a=40+2
a=42
M2)a+b=50
a=50-b
a=50-8
a=42
B.a-b=50
a=50+b
5b+2=50+b
5b-b=50-2
4b=48
b=48:4
b=12
M1)a=5b+2
a=5×12+2
a=60+2
a=62
M2)a-b=50
a=50+b
a=50+12
a=62

Answer 2

A)

a+b=50
a:b=5 rest 2 => a=5b+2

5b+2+b=50
6b+2=50
6b=50-2
6b=48
b=48:6
b=8

a=5×8+2
a=42

B)

a-b=50
a:b=5 rest 2 => a=5b+2

5b+2-b=50
4b+2=50
4b=50-2
4b=48
b=48:4
b=12

a=5×12+2
a=62