Răspuns :
1) (a,b) D.P (2,5)
a/2=b/5=k(k sau x)
a=2k =>2×2=4 A=4
b=5k =>5×2=10 B=10
stim ca a+b=14=> 2k+5k=14
7k=14
k=14:7
k=2
Am inlocuit K sus.. Deoarece a este 2k si il stiu pe K inlocuiesc.
1)a+b=14 a=2k;b=5k
2k+5k=14
7k=14
k=2⇒a=2k=2·2=4;b=5k=5·2=10;deci a=4 si b=10(4+10=14)
2)a+b=24 a=k/5;b=k/3
k/5+k/3=24(aducem la acelasi numitor)
3k+5k=360
8k=360
k=45⇒a=k/5=45/5=9;b=k/3=45/3=15
deci a=9 si b=15(9+15=24)
2k+5k=14
7k=14
k=2⇒a=2k=2·2=4;b=5k=5·2=10;deci a=4 si b=10(4+10=14)
2)a+b=24 a=k/5;b=k/3
k/5+k/3=24(aducem la acelasi numitor)
3k+5k=360
8k=360
k=45⇒a=k/5=45/5=9;b=k/3=45/3=15
deci a=9 si b=15(9+15=24)