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. Two numbers are in the ratio 5:3. If they differ by 18, what are the numbers?
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Introduction:
The problem states that two numbers are in the ratio 5:3 and they differ by 18. We need to find the two numbers.

Given:
The ratio of the two numbers is 5:3.
The difference between the two numbers is 18.

Step-by-Step Solution:

Step 1: Understand the Ratio
Let's assume the two numbers are 5x and 3x, where x is a common factor.

Step 2: Express the Difference between the Numbers
We are given that the difference between the two numbers is 18. So, we can write the equation as:
5x - 3x = 18

Step 3: Solve the Equation
Simplifying the equation, we have:
2x = 18
Dividing both sides of the equation by 2, we get:
x = 9

Step 4: Find the Numbers
Now, substituting the value of x in the assumed numbers, we have:
First number = 5x = 5 * 9 = 45
Second number = 3x = 3 * 9 = 27

Conclusion:
The two numbers are 45 and 27. The first number is 45, and the second number is 27.
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. Two numbers are in the ratio 5:3. If they differ by 18, what are the numbers?
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