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The least number that is to be subtracted from each term of the ratio $15 : 19$ to make the ratio $3 : 4$ is ____.

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Detailed Solution

The least number that is to be subtracted from each term of the ratio 15:19 to make the ratio 3:4 is 3.
It is given that the ratio is

15 : 19

.
Assume that,

x

is the number that is to be subtracted.
When

x

is subtracted from the number of ratio

15 : 19

, then the ratio is

3 : 4

15 − x : 19 − x = 3 : 4

15 − x 19 − x = 34

By solving the above equation,

4 15 − x = 3 19 − x

60 − 4 x = 57 − 3 x 4 x − 3 x = 60 − 57 x = 3

The least number to be subtracted from the ratio

15 : 19

to make it

3 : 4

3

.
Hence the required answer is 3.

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