Question

determinati a,b,c,d ∈ multimii numerelor naturale pozitive stiind ca:
a supra 2= b supra 3 = c supra 5 si a+b+c=15

Answer 1

a/2=b/3=c/5=k
a/2=k⇒a=2k
b/3=k⇒b=3k
c/5=k⇒c=5k
a+b+c=15
2k+3k+5k=15
10k=15
k=15/10
k=1,5
a=2k=2x1,5
a=3
b=3k=3x1,5
b=4,5
c=5k=5x1,5=
c=7,5

3+4,5+7,5=15