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If x:y=4:5 and x+y=144,then the valu of x and y

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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:

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