Question

se stie ca a+b+c=38 b este mai maredecat a cu5 c este mai mare decat b cu 9 afla 2a 5 b 10 c

Answer 1

a+b+c=38
b=a+5
c=b+9=a+5+9=a+14

a+a+5+a+14=38
3a+19=38
3a=19
a=19/3

c=19/3+14=19/3+42/3=61/3
b=19/3+5=19/3+15/3=34/3

verificare :
19/3+34/3+61/3=114/4=38

2a=2*19/3=38/3
5b=5*34/3=170/3
10c=10*61/3=610/3

Answer 2

$a+b+c=38 \\ b=a+5 \\ c=b+9 \\ \boxed{2a-?} \\ \boxed{5b-?} \\ \boxed{10c-?} \\ \bold{Rezolvare:} \\ a+a+5+b+9=38 \\ 2a+5+a+5+9=38 \\ 3a+19=38 \\ 3a=38-19 \\ 3a=19 \\ a=\frac{19}{3} \\ 2a=2\cdot \frac{19}{3} \\ \boxed{\bold{2a=\frac{38}{3}}} \\ b=a+5=\frac{19}{3}+5 \\ b=\frac{19}{3}+\frac{15}{3}=\frac{34}{3} \\ 5b=5\cdot\frac{34}{3} \\ \boxed{\bold{5b=\frac{170}{3}}} \\ c=b+9=\frac{170}{3}+\frac{27}{3} \\ c=\frac{197}{3} \\ 10c=10 \cdot \frac{170}{3} \\ \boxed{\bold{10c= \frac{1 \ 970}{3} }}}$