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The number that should be added to each term of the ratio $3 : 5$ so that it becomes $5 : 6$ is ____.

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Detailed Solution

The number that should be added to each term of the ratio 3:5 so that it becomes 5:6 is 7.
It is given that the ratio is

3 : 5

.
Assume that,

x

is the number that is to be added.

x

is added to the ratio

3 : 5

to give the ratio

5 : 6

3 + x : 5 + x = 5 : 6

3 + x 5 + x = 56

By solving the above equation,

18 + 6 x = 25 + 5 x

x = 7

The number is

7

.
Hence, the required answer is 7.

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