Question

The quantity added to each term of the ratio 6 : 11 so that it becomes equal to 3 : 4 is ______.

Options

• 8

• 9

• 12

• 14

Answer 1

The quantity added to each term of the ratio 6 : 11 so that it becomes equal to 3 : 4 is 9.

Explanation:

Let x be the quantity added to both terms of the ratio 6 : 11

`(6 + x)/(11 + x) = 3/4`

4(6 + x) = 3(11 + x)

24 + 4x = 33 + 3x

4x − 3x = 33 − 24

x = 9