Final answer:
To solve this problem, set up an equation to represent the given information and solve for the unknown number.
Step-by-step explanation:
To solve this problem, let's first define the unknown number as 'x'. According to the given information, 45 more than eight of a certain number is 180 more than 5 times that number.
So, we can write the equation as: 8x + 45 = 5x + 180.
To solve for 'x', we need to get all the 'x' terms on one side of the equation and the constants on the other side.
By subtracting 5x from both sides of the equation, we get 3x + 45 = 180.
Then, by subtracting 45 from both sides of the equation, we get 3x = 135.
Finally, dividing both sides of the equation by 3, we find that x = 45.