Question

Can someone please help me out? It would really make me happier if you did.

The difference between two numbers is 16. The first number is three times the other number. What are the numbers?
A. 8 and 25
B. 8 and 24
C. 9 and 24
D. 9 and 25
No links or fake answers pls. Thank you for understanding.

Answer 1

B) 8 and 24.

Explanation:

Just by looking at the answer choices, since one number must be three times the other, we can determine that the correct answer is B.

Regardless, let's work this out mathematically. Let the first number be a and the second number be b.

Their difference is 16. Hence:

`a-b=16`

The first number is three times the second number. So:

`a=3b`

Substitute:

`3b-b=16`

Solve for b. Subtract:

`2b=16`

And divide both sides by two:

`b=8`

So, the second number is 8.

And since the first number is three times the second, the first number is 24.

Our answer is B as expected.