Question

Suma a doua numere naturale easte 508.Afla numerele,stiind ca unul este de 3 ori mai mic decat celalalt

Answer 1

a,b-nr.
a+b=508
a=b:3
b:3+b=508 |×3
b+3b=1524
4b=1524
b=1524:4
b=381
a=b:3
a=381:3
a=127

Answer 2

Fie a;b cele două numere

a+b=508
a=$\dfrac{b}{3}$

$\dfrac{b}{3}$+b=508

$\dfrac{b+3b}{3}$=508

b+3b=508·3

4b=1524=>b=$\dfrac{1524}{4}$=381

a+356=508=>a=508-381=127

a=127
b=381

Proba

127+381=508