Răspuns:
43 - primul numar
32 - al doilea numar
Explicație pas cu pas:
Notam cu a si b numerele cautate
a + b = 75
a : b/4 = 5, rest 3 conform teoremei produsului avem ⇒
a = b/4 * 5 + 3
[tex]\it a+b = 75 \Rightarrow a = 75-b\\\\a = \dfrac{b}{4}\cdot5+3\\\\egalam \: relatiile\\\\75-b = \dfrac{5b}{4}+3\:\:\:|\cdot4\\\\75\cdot4-4b=5b+3\cdot4\\\\300 -4b = 5b +12\\\\300 = 5b +12+4b\\\\300 = 9b +12\\\\300-12=9b\\\\288 = 9b\\\\b = 288:9\\\\\boxed{\it b=32}\\\\a+32 =75 \Rightarrow a = 75-32 \Rightarrow\boxed{\it a=43}[/tex]
