Question

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Answer 1

10 .

a )

( 9 x a + 71) : 9 = 13 rest 8
( 9 x a + 71 ) = 13 x 9 + 8
( 9 x a ) + 71 = 117 + 8
( 9 x a ) + 71 = 125
9 x a = 125 - 71
9 x a = 54
a = 54 : 9
a = 6

b )

87 : ( 5 x a - 11 ) = 9 rest 6
5 x a - 11 = ( 87 - 6 ) : 9
5 x a - 11 = 81 : 9
( 5 x a ) - 11 = 9
5 x a = 11 + 9
5 x a = 20
a = 20 : 5
a = 4

11 .

a + b = 87

b /---/
a /---/---/---/---/---/---/---/---/-6--/

87 - 6 = 81 ( cele 9 segmente egale )
b = 81 : 9
b = 9
a = 8 x 9 + 6
a = 72 + 6
a = 78

12 .

a + b + c = 98 mere

b /---/
a /---/-4--/
c /---/-4--/-3--/

98 - 11 = 87 ( cele 3 segmente egale )
87 : 3 = 29 ( b )
a = 29 + 4
a = 33
c = 33 + 3
c = 36

13 .

a = varsta mamei
b = varsta mea

a /---/---/---/-6--/
b /---/

42 - 6 = 36 ( cele 4 segmente egale )
36 : 4 = 9 ( ani am eu )
9 x 3 = 27
27 + 6 = 33 ( ani are mama )

Mama are 33 de ani .
Eu am 9 ani .

33 + 9 = 42 ( ani )

14 .

82 : 9 = 9 rest 1
83 : 9 = 9 rest 2
84 : 9 = 9 rest 3
85 : 9 = 9 rest 4
86 : 9 = 9 rest 5
87 : 9 = 9 rest 6

15 .

Mihai + Simona = 75 lei
M + S = 75 lei
S : ( M : 2 ) = 3 rest 5
S = ( M : 2 ) x 3 + 5

M /---/---/
S /---/---/---/-5--/

75 - 5 = 70 ( cele 5 segmente egale )
70 : 5 = 14 ( jumătatea lui Mihai )
M = 14 x 2
M = 28 lei
S = 75 - 28
S = 47 lei

Dacă te - am ajutat dă - mi coroana !