Question

6
Află valoarea necunoscutei:
(a + 49): 9 = 37 rest 6
930 : (a - 13) = 9 rest 3
[428 : (a - 28) - 25 x 3] x 8 = 256
(a x 2 + 12): 4 = 88 rest 2​

Answer 1

Răspuns:

Explicație pas cu pas:

(a + 49): 9 = 37 rest 6

( a + 49 ) = 37 x 9 + 6

( a + 49 ) = 333 + 6

a + 49  = 339

a = 339 - 49

a = 290

( 290 + 49 ) : 9 = 339 : 9 = 37 si rest 6

930 : (a - 13) = 9 rest 3

( a - 13 ) x 9 + 3 = 930

9a - 117 + 3 = 930

9a = 930 + 117 - 3

9a = 1047 -3

9a = 1044

a = 1044 : 9

a = 116

930 : ( 116 - 13 ) = 930 : 103 = 9 si rest 3

[428 : (a - 28) - 25 x 3] x 8 = 256

[428 : (a - 28) - 25 x 3] = 256 : 8

[428 : (a - 28) - 25 x 3] = 32

[428 : (a - 28) - 75 ] = 32

428 : (a - 28) - 75  = 32

428 : (a - 28)  = 32 + 75

428 : (a - 28) = 107

( a - 28 ) = 428 : 107

a - 28  = 4

a = 4 + 28

a = 32

[428 : ( 32 - 28) - 25 x 3] x 8 = [428 : 4 - 75] x 8 = [ 107 - 75] x 8 = 32 x 8 = 256

(a x 2 + 12): 4 = 88 rest 2​

(a x 2 + 12) = 4 x 88 + 2

(a x 2 + 12) =  352 + 2

(a x 2 + 12) = 354

a x 2 = 354 - 12

a x 2 = 342

a = 342 : 2

a = 171

(171  x 2 + 12): 4 = ( 342 + 12) : 4 = 354 : 4 = 88 si rest 2