Question

determinati nr natural n ,cuprins intre 40 si 50 stiind ca la impartirea lui prin 6 si prin 8 se obtine de fiecare data 1

Answer 1

x:6=c1,r=1⇒x=6*c1+1⇒x-1=6*c1
x:8=c2,r=1⇒x=8*c2+1⇒x-1=8*c2
x-1=(6,8) cel mai mic multiplu comun
x-1=24*k
x=24k+1
40<24k+1<50
39<24k<49
$1 \frac{15}{24}\ \textless \ k\ \textless \ 2 \frac{1}{24}$
K∈N⇒k=2
x=24*2+1
x=49