Answer:
8/13
Explanation:
Let the number be x
if five times a number added to 4 is divided by the number plus 6 the result is nine halves
- five times the number = 5x
- five times a number added to 4 = 5x+4
- five times a number added to 4 is divided by the number = (5x+4)/x
- five times a number added to 4 is divided by the number plus 6 = (5x+4)/x + 6
- nive halves = 9*(1/2)
five times a number added to 4 is divided by the number plus 6 the result is nine halves
(5x+4)/x + 6 = 9(1/2)
=>(5x+4)/x + 6 -6 = 9(1/2) -6 = 9/2-6 = (9-6*2)/2 = -3/2
=>(5x+4)= -3/2 *x= -3x/2
=>2(5x+4) = -3x
=> 10x +8 = -3x
=> 10x+3x = 8
=> 13x = 8
=> x = 8/13
Thus, the number is 8/13