Răspuns
Explicație pas cu pas:
a )
n / ( 2² × 3 ) = 2 / 3 ⇒ produsul mezilor = produsul extremilor
⇒ 3 × n = 2 × ( 2² x 3 )
3 × n = 2 × ( 4 × 3 )
3 × n = 2 × 12
3 × n = 24
n = 24 : 3
n = 8
Verific: 8 / 12 = 2 / 3 ⇒ 8 × 3 = 12 × 2 = 24
sau: ( 8 : 4 ) / ( 12 : 4 ) = 2 / 3
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b)
( 2×3²) / n = 2 / 3
2 × n = 3 × ( 2 × 3² )
2 × n = 3 × ( 2 × 9 )
2 × n = 3 × 18
n = 54 : 2
n = 27
Verific: 18 / 27 = 2 / 3 ⇒ 18 × 3 = 27 × 2
54 = 54
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c) 10 / 5 n = 2 / 3
5 n × 2 = 3 × 10
10 n = 30
n = 30 : 10
n = 3
Verific: 10 / (5 × 3) = 2 / 3 ⇒ 10 × 3 = 15 × 2