Question

Daca a+b=32 iar a/b =7/9 a=? B=? Cu tot cu rezolvare

Answer 1

Răspuns:

a= 14, b=18

Explicație pas cu pas:

a+b=32

a/b =7/9

a = 7b/9

7b/9 + b = 32

7b/9 + 9b/9 = 288/9

7b+9b = 288

16b =288

b = 288/16

b=18

a = 7*18/9=7*2=14

a=14

Answer 2

Explicație pas cu pas:

$\frac{a}{b} = \frac{7}{9} = k \\ 9a = 7b = k \\ a = \frac{k}{9} \\ b = \frac{k}{7} \\ a + b = 32 \\ \frac{k}{9} + \frac{k}{7} = 32 \\ \frac{7k + 9k}{63} = 32 \\ \frac{16k}{63} = 32 = > k = 126 \\ a = \frac{k}{9} = 14 \\ b = \frac{k}{7} = 18$