Question

aflati numerele a,b,c ∈ Q,stiind ca sunt invers proportionale cu 2,5,6 si ca a-b=15

Answer 1

2a=5b=6c=k ⇒ a=k/2; b=k/5, c=k/6.
a-b=15 ⇒ k/2-k/5=15 ⇒ 5k-2k=150 ⇒ k=50
a=k/2=25, b=k/5=10, c=k/6=50/6=25/3.