Question

3.Să se afle a din:

a)98 – 36 : [64 – (3 x a + 40): 5 + 4] = 96

b) {[50 : (6a – 7) + 2 x 5 x 8] : (5 x 6) +4} - 6 = 1

c) (242 + 360 : 10 – 214) : ( 80 : 5 – 4 x 2)

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Answer 1

Răspuns:

Explicație pas cu pas:

a)

98 – 36 : [64 – (3 x a + 40): 5 + 4] = 96

36 : [64 – (3 x a + 40): 5 + 4] = 98 - 96

36 : [64 – (3 x a + 40): 5 + 4] = 2

64 – (3 x a + 40): 5 + 4 = 36 : 2

64 – (3 x a + 40): 5 + 4 = 18

64 – (3 x a + 40): 5 = 18 - 4

64 – (3 x a + 40): 5 = 14

(3 x a + 40) : 5 = 64 - 14

(3 x a + 40) : 5 = 50

3 x a + 40 = 50 × 5

3 x a + 40 = 250

3 × a = 250 - 40

3 × a = 210

a = 210 : 3

a = 70

______________________

b)

{[50 : (6×a – 7) + 2 x 5 x 8] : (5 x 6) +4} - 6 = 1

{[50 : (6×a – 7) + 80] : 30 +4} - 6 = 1

[50 : (6×a – 7) + 80] : 30 +4 = 1 + 6

[50 : (6×a – 7) + 80] : 30 +4 = 7

[50 : (6×a – 7) + 80] : 30 = 7 - 4

[50 : (6×a – 7) + 80] : 30 = 3

50 : (6×a – 7) + 80 = 3 × 30

50 : (6×a – 7) + 80 = 90

50 : (6×a – 7) = 90 - 80

50 : (6×a – 7) = 10

6×a – 7 = 50 : 10

6×a – 7 = 5

6 × a = 5 + 7

6 × a = 12

a = 12 : 6

a = 2

_______________________________

c)

(242 + 360 : 10 – 214) : ( 80 : 5 – 4 x 2) = 8

= ( 242 + 36 - 214 ) : ( 16 - 8 ) =

= ( 278 - 214 ) : 8

= 64 : 8 =

= 8