Question

28. Numerele m; n si p sunt invers proportionale cu 8: 9 şi 12. Aflati cele trei numere daca: a) suma lor este 46; b) produsul lor este 2.​

Answer 1

Răspuns:

m/8=n/9=p/12=k

8m=9n=12p=k

m=k/8

n=k/9

p=k/12

⁹⁾k/8 +⁸⁾k/9 +⁶⁾k/12=⁷²⁾46

9k+8k+6k=3312

23k=3312

k=3312:23=>k=144

m=144:8=18

n=144:9=16

p=144:12=12

_____________

k/8×k/9×k/12=2

k³=8·9·12·2

k³=1728

k³= 12³

k=12

m=(12/8)⁽⁴=3/2

n=(12/9)⁽³=4/3

p=12/12=1