Final answer:
The number is 9. We determined it by setting up an equation to represent 15% of the number added to the number is equal to 10.35 and then solving for the number.
Step-by-step explanation:
We are asked to find a number such that when you add 15% of it to itself, you get 10.35. Let's denote the number we're looking for as x. The mathematical representation of the given situation is:
x + 0.15x = 10.35
To solve for x, we combine like terms:
1.15x = 10.35
Next, we divide both sides of the equation by 1.15 to isolate x:
x = 10.35 / 1.15
After performing the division:
x = 9
Therefore, the number we were looking for is 9.