What are the two numbers if their sum is 24 and one number is twice as large as the other?

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Finding the Two Numbers

To solve the problem where the sum of two numbers is 24 and one number is twice as large as the other, we can set up a simple equation. Let’s define the two numbers:

  • Let x be the smaller number.
  • Then, the larger number will be 2x (since it is twice the smaller number).

Now, we can express their sum mathematically:

x + 2x = 24

Combining like terms gives us:

3x = 24

To find the value of x, we divide both sides of the equation by 3:

x = 24 / 3

x = 8

Now that we have found the smaller number, we can determine the larger number:

2x = 2 * 8 = 16

So, the two numbers are:

  • Smaller Number: 8
  • Larger Number: 16

In conclusion, the two numbers you are looking for are 8 and 16.

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