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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30, 35

50, 55

20, 28

40, 48

answer is D.

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Detailed Solution

Given that the two numbers in ratio 5:6 and if we subtract 8 from each number then ratio be 4:5
Let the two numbers be x and y, then.

x y = 56 ⇒ y = 6 x 5 … (i)

And,

x − 8 y − 8 = 45 ⇒ 5 x − 4 y = 8

On solving above two equations we get

x = 40

and

y = 48

Therefore, the two numbers are 40 and 48.
Hence, option (4) is correct.

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