Question

a:( b:3) = 5 r 7, 2a + b = 170

Answer 1

Răspuns

Explicație pas cu pas:

a : ( b : 3 ) = 5 rest 7

a = 5 × ( b / 3 ) + 7

_______________

2 a + b = 170

2 × ( 5 b / 3 + 7 ) + b = 170

10 b / 3 + 14 + b = 170

10 b / 3 + b = 170 - 14

10 b + 3 b = 3 × 156

13 b = 468 ⇒    b = 468 : 13  ⇒ b = 36

2 × a + 36 = 170

2 × a = 170 - 36

2 × a = 134  ⇒   a = 134 : 2  ⇒   a = 67

Verific:   67 : ( 36 : 3 ) = 67 : 12 = 5 rest 7