x:y=3:4,then what is the value of (3x-y):(x+2y)?
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SOLUTION
GIVEN
x : y = 3 : 4
TO DETERMINE
( 3x - y ) : ( x + 2y )
EVALUATION
Here it is given that x : y = 3 : 4
Let x = 3k and y = 4k
Then
( 3x - y ) : ( x + 2y )
= [ ( 3 × 3k ) - 4k ] : [ 3k + ( 2 × 4k ) ]
= ( 9k - 4k ) : ( 3k + 8k )
= 5k : 11k
= 5 : 11
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