One-third of Olivias age, increased by 12, is equal to her age twice, decrased by 3.How old is Olivia? This isnt multiple choice and im confused on how to solve.
x/3 + 12=2 x -3)
x+36=6x-9
45=5x
x=9
Arigato!
To solve this problem, let's break it down step by step.
Let's denote Olivia's age as "x".
According to the given information, one-third of Olivia's age increased by 12 is equal to her age twice decreased by 3. We can represent this in an equation:
(1/3)x + 12 = 2x - 3
Now, let's solve for x:
Multiply both sides of the equation by 3 to eliminate the fraction:
3 * ((1/3)x + 12) = 3 * (2x - 3)
(x + 36) = 6x - 9
Next, let's isolate the variable x on one side by subtracting x from both sides:
(x + 36) - x = (6x - 9) - x
36 = 5x - 9
Now, let's get rid of the constant -9 on the right side by adding 9 to both sides:
36 + 9 = 5x - 9 + 9
45 = 5x
Finally, let's isolate x by dividing both sides by 5:
45 / 5 = 5x / 5
9 = x
So, Olivia is 9 years old.