Question

if five times a number added to 4 is divided by the number plus 6 the result is nine halves, Find The Number

Answer 1

Answer:

8/13

Step-by-step 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