Two numbers are in a ratio 3:5. If the difference between the two number is 24 find the number

5x - 3x = 24

2 x = 24
x = 12

5 x = 60
3 x = 36

so 60 and 36

To find the numbers, we can set up a proportion based on the given ratio 3:5. Let's assume the two numbers are 3x and 5x (where x is a common multiplier).

According to the given information, the difference between these two numbers is 24. So we can write an equation as follows:
5x - 3x = 24

Simplifying the equation, we get:
2x = 24

To solve for x, we divide both sides of the equation by 2:
x = 12

Now, we can substitute the value of x back into our assumption:
Using 3x, we get the first number:
3x = 3 * 12 = 36

Using 5x, we get the second number:
5x = 5 * 12 = 60

Therefore, the two numbers are 36 and 60.