Answer:
Number is x = -13.5
Explanation:
Let the number is x
Given condition:
number divided by three is nine more than the number.
This can be written as:
x/3 = 9 + x
Taking x sides at left of equal will make the signs opposite
x/3 - x = 9
Taking denominators of both terms same (3)
x/3 - x* 3/3 = 9
(x- 3x)/ 3 = 9
-2x/3 =9
Multiplying both sides by -3/2
x = 9*(-3/2)
x = -27/2
x= -13.5
Proof:
Given condition is:
x/3 = 9 + x
Putting value of x
-13.5/3 = 9 + (-13.5)
-4.5 = -4.5
I hope it will help you!