Question

Determinati numerele naturale x si y astfel incat fractiile urmatoare 2 supra 5, x+2 supra 15, si 10 supra 3y+1 sa fie echivalente

Answer 1

2/5=x+2/15=10/3y+1;
⇒2/5=x+2/15
⇒5[x+2]=30⇒x+2=6⇒x=4;
⇒2/5=6/15=10/3y+1;
⇒6/15=10/3y+1;
⇒6[3y+1]=150
⇒3y+1=25⇒3y=24⇒y=8;
⇒x=4;
⇒y=8;