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Question

If x:y=3:5 find ratio 3x+4y:8x+5y

Solution
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Given that x : y = 3 : 5
(0r)xy=35
Let us assume that x = 3k and y = 5k
3x+4y8x+5y=3(3k)+4(5k)8(3k)+5(5k)
9k+20k24k+25k=29k49k=2949
Hence 3x + 4y : 8x + 5y = 29 : 49

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