2. The difference between three-quarters and three-fifths of a number is a 9

Determine the number.

Step-by-step explanation:

Let the number be x

three-quarters of the number = 3/4 of x = 3x/4

three-fifths of a number = 3/5 0f x = 3x/5

3x/4 - 3x/5 = 9

3x*5/4*5 - 3x*4/5*4 = 9 {making equivalent fractions}

15x/20 - 12x/20 = 9

15x - 12x / 20 = 9

3x/20 = 9

x = 9*20/3 = 3 * 20 = 60

The number is 60