Question

Daca doua numere au suma 585. Daca le impartim obtinem 8 si rest 18. Care sunt cele doua numere ?
Va rog ajutati-ma !

Answer 1

$a+b = 585 \\ a = 8b+18 \\ \\ 8b+b+18 = 585 \Rightarrow 9b = 567 \Rightarrow b = \frac{567}{9} \Rightarrow b = 63 \\ a + 63 = 585 \Rightarrow a = 585 - 63 \Rightarrow a = 522$

Deci, numerele sunt 522 si 63.

Answer 2

a+b=585
a÷b=8rest 18
a=8b+18
8b+18+b=585
9b+18=585
9b=567
b=63
a=63×8+18=522