Question

The sum of two numbers is 24 and one of them is twice the other. The numbers respectively will be:

• A. 16, 8
• B. 12, 6
• C. 18, 9
• D. 14, 7

Hint:

When dealing with problems where one number is a multiple of another, express the numbers as variables and use the sum or difference condition to solve for them.

Answer 1

The Correct Option is A

Let the two numbers be \( x \) and \( 2x \) (since one is twice the other). According to the given condition, the sum of the numbers is 24: \[ x + 2x = 24 \] Simplifying: \[ 3x = 24 \] \[ x = 8 \] So, the two numbers are \( x = 8 \) and \( 2x = 16 \).
Step 1: Conclusion.
Thus, the numbers are 16 and 8.