Question

a supra 3=b supra 4
b supra 6= c supra 5
a+b+c=62
a,b,c=?

Answer 1

A supra 3=b supra 4=>4a=3b=>a=3b/4
b supra 6= c supra 5=>5b=6c=>c=5b/6
a+b+c=62
3b/4+b+5b/6=62
numitor comun 12
3 ori 3b/12+12b/12+2 ori 5b/12=62
9b/12+12b/12+10b/12=62
31b/12=62=>b=12 ori 62/31=>b=24
daa b=24=>a=3 ori 24/4=>a=3 ori 6=>a=18
daca b=24=>c=5 ori 24/6=>c=5 ori 4=>c=20