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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Maths/Science Tutor

40, 48.
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Tutor

40 and 48.
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TEACHING IS MY PASSION-I STILL STRIVE TO BETTER MY TEACHING ABILITIES

The numbers are '40'and '48'
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Math Magician

40,48
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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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An Experienced Trainer

40, 48
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Given, x/y = 5/6 (x-8)/(y-8) = 4/5 On solving , Numbers are, x = 40 & y = 48
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(5x-8)/(6x-8)=4/5; x=8; 5x:6x=40:48
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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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