The difference between three-fourths and three-fifths of a number is 9. Determine the number?

7 answers

(3/4)x - (3/5)x = 9

(15/20)x - (12/20)x = 9

(3/20)x = 9

x = 9 * (20/3)

x = 180/3 = 60
translation into math:
(3/4)x - (3/5)x = 9

the LCD is 20, so multiply each term by 20
20(3/4)x - 20(3/5)x = 20(9)
15x - 12x = 180
3x = 180
x = 60 , after dividing both sides by 3

so the number is 60

check:
(3/4) of 60 = 45
(3/5) of 60 = 36
their difference is 9

My answer is correct
100
3/4 x - 3/5 x= 9
15/20 x - 12/20 x = 9
3/20 x = 9
3x = 9×20
3x = 180
X = 180/3
X = 60
3/4x-3/5x=9