Question

Aflati numerele a, b, c stünd că ele sunt invers. sproper- tionale, cu 0,5; 0,25; 8, (3) si că suma lor este 90​

Answer 1

(a,b,c) ip ( 0,5 ; 0,25 ; 8,(3) ) => 0,5a= 0,25 b = 8,(3) c= k => a= k/0,5 = 2k

b= k/0,25 = 4k

c = k/8,(3)= k/75/9 = k×9/75= 0,12k

8,(3)= 83-8/9 = 75/9

a+b+c= 90

2k+4k+0,12k=90

6,12 k = 90 => k = 90/6,12= 9000/612= 3000/204=1500/102= 750/51 = 250/ 17

k=250/17=> a = 2× 250/17 = 500/17

b= 4× 250/17 = 1000/17

c= 0,12× 250/17= 30/17

Coroana?