Question

(4x + 7y) / (4x - 7y) = 7 / 3, find x:y.

Answer 1

Answer:

Componendo-Dividendo Property

If a : b :: c : d then (a + b) : (a - b) :: (c + d) : (c - d).

(4x + 7y) / (4x - 7y) = 7 / 3

( 4x + 7y + 4x - 7 y ) / ( 4x + 7y - 4x + 7y ) = ( 7 + 3 ) / ( 7 - 3 )

8x / 14 y = 10 / 4

x / y = ( 10 * 14 ) / ( 4 * 8 )

       = 35 / 8 ( answer )

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