Question

Determinati numarul nat. n astfel incat urm. fractii sa fie egale cu fractia 5 supra 6
a) n supra 12
b) 35 supra n
c) n+1 supra 18
d) 30 supra 2n +4
e) 105 supra 10n + 6
Ajutati-ma va rog!!

Answer 1

a)n/12=5/6⇒n=12·5/6=60/6=10
b)35/n=5/6⇒n=35·6/5=42
c)(n+1)/18=5/6⇒n+1=18·5/6⇒n+1=15⇒n=14
d)30/(2n+4)=5/6⇒2n+4=30·6/5⇒2n+4=36⇒2n=32⇒n=16
e)105/(10n+6)=5/6⇒10n+6=126⇒10n=120⇒n=12

Answer 2

a)n/12=5/6⇒6n=30⇒n=30/6⇒n=5
b)35/n=5/6⇒5n=35×6⇒5n=210⇒n=210/5
n=42
c)n+1/8=5/6⇒6(n+1)=40⇒6n+6=40⇒6n=40-6⇒6n=36⇒n=36/6⇒n=6
d)30/2n+4=5/6⇒5(2n+4)=180⇒10n+20=180⇒10n=180-20⇒10n=160⇒n=160/10⇒n=16
e)105+10n+6=5/6⇒5(10n+60)=6×105⇒50n+300=630⇒50n=630-30⇒50n=600⇒n=600/50⇒n=12
sucees