Question 1086490


{{{(x + 3):(4 x + 1)}}} is the duplicate ratio of {{{(3 : 5 )}}}, we have

{{{(x + 3):(4 x + 1)=2(3 : 5 )}}}

{{{(x + 3)/(4 x + 1)=2(3/5 )}}}

{{{(x + 3)/(4 x + 1)=6 /5}}}

{{{5(x + 3)=6 (4 x + 1)}}}

{{{5x + 15 =24x + 6}}}

{{{15-6 =24x -5x}}}

{{{9 =19x}}}

{{{highlight(x=9/19)}}}


check the ratio:

{{{(9 /19 + 3)/(4 (9 /19) + 1)}}}

{{{(9 /19 + 57/19)/(36/19+ 19/19)}}}

{{{(66/19)/(55/19)}}}

{{{66/55}}}..............{{{66/55=(66/11)/(55/11)=6/5}}}

{{{6/5}}} which is the duplicate ratio of {{{(3 : 5 )}}}