Answer:
To find the values of x and y, we can use the given information that x:y = 4:5 and x + y = 144.
Step 1: Understanding the ratio
The ratio x:y = 4:5 means that for every 4 parts of x, there are 5 parts of y. We can consider these parts as units or fractions.
Step 2: Assigning values to the ratio
Let's assume that the common ratio between x and y is k. So, we can say that x = 4k and y = 5k.
Step 3: Solving the equation
We are given that x + y = 144. Substituting the values of x and y from step 2, we have 4k + 5k = 144.
Simplifying the equation, we get 9k = 144.
Step 4: Solving for k
To find the value of k, we divide both sides of the equation by 9. This gives us k = 16.
Step 5: Finding the values of x and y
Now that we have the value of k, we can substitute it back into the equations x = 4k and y = 5k to find the values of x and y.
Substituting k = 16, we get x = 4 * 16 = 64 and y = 5 * 16 = 80.
Therefore, the values of x and y are x = 64 and y = 80.
Explanation: