if x:y = 1:3, then find the value of (7x+3y):(2x+y) ( A ) 16:5 ( B ) 14:5 ( C ) 17:5 ( D ) 15:5
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x:y=1:3
x/y=1/3
(7x+3y):(2x+y)
=(7x+3y)/(2x+y)
on dividing with y in Nr and Dr —
=(7x+3y)/y/(2x+y)/y
=(7x/y+3)/(2x/y+1)
=(7*1/3+3)/(2*1/3+1)
=(7/3+3)/(2/3+1)
=(16/3)/(5/3)
=16/5
=16:5
(A) is correct option.
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