Question

Suma a doua numere pozitive este 434,5 iar o treime dintr-un numar este egala cu doua cincimi din celalalt numar. Aflati cele doua numere.

Answer 1

a+b=434,5
a/3=2b/5
5a=6b
prima relatie o inmultim cu 6
6a+6b=2607
6a+5a=2607
11a=2607, a=2607:11=237
237/3=2b/5
79=2b/5
b=79x5/2=197,5
verificare
237+197,5=434,5

Answer 2

[tex]a+b= 434. 5 [/tex]

$\frac{a}{3} = \frac{2b}{5}$ [tex]=\ \textgreater \ a= \frac{6b}{5} [/tex]

[tex] \frac{6b}{5} +b= 434.5 [/tex]

$6b+5b= 2172.5 =\ \textgreater \ 11b= 2172.5 =\ \textgreater \ b= 2172.5:11$

$b= 197.5$

$a= \frac{b*197,5}{5} =\ \textgreater \ a= 237.$

$[v; a+b= 237+197,5= <strong>434,5]$