Question

Impartiti numarul 84 in parti invers proportionale cu 2 3 6

Answer 1

x + y + z = 84

2 x = 3 y = 6 z = k

2 x = k => x = k / 2

3 y = k => y = k / 3

6 z = k => z = k / 6

k / 2 + k / 3 + k / 6 = 84

3 k / 6 + 2 k / 6 + k / 6 = 84

6 k / 6 = 84 / 1

6 k = 6 × 84

6 k = 504

k = 504 / 6

k = 84

x = 84 / 2 = 42

y = 84 / 3 = 28

z = 84 / 6 = 14