Find a number such that one-half of the number is 12 less than two-thirds of the number
x/2 = 2x/3 - 12
x = 72
Thank You !
To find the number, we can set up an equation based on the given information, and then solve it.
Let's denote the number as "x".
According to the given information, one-half of the number is 12 less than two-thirds of the number. Mathematically, we can express this as:
(1/2)x = (2/3)x - 12
To solve for x, we can start by eliminating the fractions by multiplying both sides of the equation by the least common multiple (LCM) of the denominators, which is 6:
6 * (1/2)x = 6 * (2/3)x - 6 * 12
3x = 4x - 72
Next, we need to isolate the variable x on one side of the equation. Let's subtract 4x from both sides:
3x - 4x = -72
-x = -72
To solve for x, we can multiply both sides of the equation by -1 to get rid of the negative sign:
x = 72
Therefore, the number we are looking for is 72.