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Class 10 > Learn Mathematics > Two numbers are in the ratio 5:6. If 8 is subtracted...
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Two numbers are in the ratio 5:6. If 8 is subtracted from each of the numbers, the ratio becomes 4 : 5. Find the numbers?

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Let numbers are 5x and 6x (5x-8)/ (6x-8) = (4/5) => 5(5x-8)= 4(6x-8) => 25x-40 = 24x-32 => 25x-24x= 40-32 => x= 8 Two numbers are 5x 8= 40 and 6x8 = 48
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40, 48.
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40 and 48.
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Let the numbers be 5x and 6x. (5x -8) /(6x - 8 )= 4/5 5(5x-8)=4(6x-8) 25x - 40=24x-32 25x-24x= -32 + 40 x = 8 Hence the numbers are 40,48
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40,48
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40 and 48.
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Gourav Khandelwal

Let the two numbers be x and y. Therefore, (x/y)=(5/6) x=(5y/6)........(1) Again, ((x-8)/(y-8))=(4/5) => 5x-40=4y-32 => 5x-4y=8 Putting (1) => (25y/6)-4y=8 => (y/6)=8 => y=48 Therefore, x=(5*48)/6 x=40
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July 2018Date of Examination 08th July 2018
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M.Tech (IIT-Delhi)

x/y=5/6...(1) (x-8)/(y-8)=4/5 On solving x=40, y=48
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40, 48
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