Question

Aflati numerele a b c stiind ca sunt invers proportionale cu 2,5,10 iar suma lor este 24 ​

Answer 1

(a,b,c) ip (2,5,10)

2a=5b=10c=k

a=k/2
b=k/5
c=k/10

k/2+k/5+k/10=24

5k+2k+k=240
8k=240
k=30

a=30/2=15
b=30/5=6
c=30/10=3

VERIF.: 15+6+3==24.

Answer 2

Răspuns:

a=15

b=6

c=3

Explicație pas cu pas:

2a=5b=10c

a+b+c=24  /*2

2a+2b+2c=48

5b+2b+2c=48

7b+2c=48  /*5

35b+10c=240

35b+5b=240

40b=240

b=6

2a=5b=5*6=30

a=15

10c=5b=30

c=3