Question

Determinați numarul n pentru care:
50:{13+12×[3×113-2×13×(20-28:n)]}=2

Answer 1

Răspuns:  n = 4

Explicație pas cu pas:

50 : {13 + 12 × [ 3 × 113 - 2 × 13 × ( 20 - 28 : n ) ] } = 2

13 + 12 × [ 339 - 26 × ( 20 - 28 : n ) ] = 50 : 2

12 × [ 339 - 26 × ( 20 - 28 : n ) ] = 25 - 13

339 - 26 × ( 20 - 28 : n ) = 12 : 12

26 × ( 20 - 28 : n ) = 339 - 1

26 × ( 20 - 28 : n ) = 338

20 - 28 : n = 338 : 26

20 - 28 : n = 13

28 : n = 20 - 13

28 : n = 7

n = 28 : 7

n = 4 → numarul, aflat prin metoda mersului invers

Answer 2

50 : { 13 + 12 × [ 3 × 113 - 2 × 13 × ( 20 - 28 : n ) ] } = 2

50 : { 13 + 12 × [ 339 - 26 × ( 20 - 28 : n ) ] } = 2

13 + 12 × [ 339 - 26 × ( 20 - 28 : n ) ] = 50 : 2

13 + 12 × [ 339 - 26 × ( 20 - 28 : n ) ] = 25

12 × [ 339 - 26 × ( 20 - 28 : n ) ] = 25 - 13

12 × [ 339 - 26 × ( 20 - 28 : n ) ] = 12

339 - 26 × ( 20 - 28 : n ) = 12 : 12

339 - 26 × ( 20 - 28 : n ) = 1

26 × ( 20 - 28 : n ) = 339 - 1

26 × ( 20 - 28 : n ) = 338

20 - 28 : n = 338 : 26

20 - 28 : n = 13

28 : n = 20 - 13

28 : n = 7

n = 28 : 7

n = 4