Question

The sum of two numbers is seventy-two. One number is two times another. What are the numbers?

Answer 1

Answer:

24 and 48

Step-by-step explanation:

Let's let the two numbers be a and b.

Their sum is 72. So:

$a+b=72$

One number (let's use a) is two times another (b). In other words:

$a=2b$

We have a system of equations. We can solve by substituting the second equation into the first. So:

$2b+b=72$

Combine like terms:

$3b=72$

Divide both sides by 3:

$b=24$

So, one of the numbers is 24.

Since their sum is 72, this means that the other number is 72-24 or 48.

So, our two numbers is 24 and 48.

And we're done!