Question

164-{24-[(50+a×b)×2+36]÷10}×8=100

Answer 1

Răspuns:

Explicație pas cu pas:

164 - {24 - [ ( 50 + a × b ) × 2 + 36 ] : 10 } × 8 = 100

{24 - [ ( 50 + a × b ) × 2 + 36 ] : 10 } × 8 = 164 - 100

{24 - [ ( 50 + a × b ) × 2 + 36 ] : 10 } × 8 = 64

24 - [ ( 50 + a × b ) × 2 + 36 ] : 10 = 64 : 8

24 - [ ( 50 + a × b ) × 2 + 36 ] : 10 = 8

[ ( 50 + a × b ) × 2 + 36 ] : 10 = 24 - 8

[ ( 50 + a × b ) × 2 + 36 ] : 10 = 16

( 50 + a × b ) × 2 + 36 = 16 × 10

( 50 + a × b ) × 2 + 36 = 160

( 50 + a × b ) × 2 = 160 - 36

( 50 + a × b ) × 2 = 124

50 + a × b = 124 : 2

50 + a × b = 62

a × b = 62 - 50

a × b = 12

1 × 12 = 12;   2 × 6 = 12;   3 × 4 = 12; 4 × 3 = 12;  6 × 2 = 12; 12 × 1 = 12

Solutii:

(a; b) = ( 1; 12);   ( 2; 6);  ( 3; 4);  ( 4; 3);  ( 6; 2);  ( 12; 1)