The sum of 9 and a certain number is 2 whole number 1 over 4 times the original number. Find the number
why all those tedious words? It appears that you mean
x+9 = 2 1/4 x
On the other hand, you opaque language makes it unclear.
From your data:
x + 9 = 2 1/4x = 2.25x
Solve for x.
However, this does not solve to be a whole number. Typos?
To find the number, we can set up an equation based on the given information. Let's denote the unknown number as "x".
The sum of 9 and the unknown number is equal to 2 1/4 times the original number. Mathematically, this can be expressed as:
9 + x = (2 + 1/4) * x
Now, let's simplify the right side of the equation:
9 + x = (9/4) * x
Next, we want to isolate the variable "x". We can do this by moving the terms involving "x" to one side of the equation. Let's subtract (9/4) * x from both sides:
9 - (9/4) * x = x
To simplify further, we can rewrite 9 as (9/1) so that we have a common denominator:
(9/1) - (9/4) * x = x
Now, let's multiply both sides by 4 to eliminate the fraction:
4 * (9/1) - 4 * (9/4) * x = 4 * x
Simplifying, we get:
36 - 9x = 4x
To solve for "x", let's move the terms involving "x" to one side of the equation and the constant terms to the other side:
36 = 4x + 9x
Combining like terms:
36 = 13x
Finally, divide both sides of the equation by 13:
x = 36/13
Therefore, the number is 36/13.