Question

Daca (3a+7b) / (6a+5b) = 41 / 37 , atunci valoarea raportului 2a+b / a+2b este ? 

a) 6/5 | b) 4/3 | c) 5/6 | d) 3/4

Answer 1

37(3a+7b)=41(6a+5b)
111a+259b=246a +205b
111a-246b=205b-259b
-135a=-55b |-5

27a=11b
a=11b/27

(2a+b)/(a+2b)=  (2* 11b/27 +b) /( 11b/27 +2b)    aducem la acelasi numitor in paranteze

(22b+27b)/27 / (11b+54b)/27=

=49b/27 * 27/65b=

=49b/65b=

=49/65