Question

The difference between two numbers is 24. If one number is 2 times the second. Then the two numbers will be:

• A. 36, 12
• B. 48, 24
• C. 32, 8
• D. 12, 6

Answer 1

The Correct Option is B

To solve the problem, we need to determine the values of two numbers where their difference is 24, and one number is 2 times the second number.

Let's define the numbers as follows:

Let x be the second number.

Then the first number is 2x.

According to the problem, the difference between the two numbers is 24:

$a_1-a_2=24$

Substituting the expressions for the numbers:

$2x-x=24$

From this equation, we simplify to find x:

$x=24$

Now that we know x is 24, the first number, which is 2x, is:

$2x=2\times 24=48$

Therefore, the two numbers are 48 and 24. The correct option is 48, 24.