If (4x + 3y) : (3x + 5y) = 6 : 7, find x : y - Vidyadip

Question

If $(4x + 3y) : (3x + 5y) = 6 : 7,$ find $x : y$

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Answer

$7 x(4 x+3 y)=6 x(3 x+5 y) $
$28 x+21 y=18 x+30 y $
$28 x-18 x=30 y-21 y $
$10 x=9 y $
$\frac{x}{y}=\frac{9}{10} $
$\therefore x: y=9: 10$

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