Two numbers are in the ratio of $5 : 6$ . If $3$ is deducted from the second and added to the first they are in the ratio of $1 : 1$ , the numbers are_____.

30 : 36

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25 : 30

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40 : 48

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15 : 18

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Solution

The correct option is C $30 : 36$
solution:
le the number be 5x and 6x
we get,
$\frac{5 x + 3}{6 x - 3} = 1$
$5 x + 3 = 6 x - 3$
$x = 6$
both number comes out to be:
5 x 6 , 6x6
30,36
hence the correct option : A

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