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

15 : 19

.
Let the number be

x

x

is subtracted from the ratio

15 : 19

to make

3 : 4

. So,

15 − x 19 − x = 34

By solving the above equation,

60 − 4 x = 57 − 3 x

4 x − 3 x = 60 − 57

x = 3

Hence, the number is 3.
Hence, the required answer is 3.

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