87.0k views
3 votes
The sum of three numbers is 80. The first number is 8 more than the second. The third number is 2 times the second. What are the numbers?First number:Х?Second number:0Third number:

User Windsor
by
7.7k points

1 Answer

4 votes

Let's use the variables x, y and z to represent each of the three numbers.

If the sum of the three numbers is equal to 80, we have our first equation:


x+y+z=80

The first number is 8 more than the second, so:


x=y+8

The third number is 2 times the second, so:


z=2y

Using these values of z and x in the first equation, let's solve it for y:


\begin{gathered} (y+8)+y+(2y)=80 \\ 4y+8=80 \\ 4y=72 \\ y=18 \end{gathered}

Now, calculating x and z, we have:


\begin{gathered} x=18+8=26 \\ z=2\cdot18=36 \end{gathered}

Therefore the first number is 26, the second number is 18 and the third number is 36.

User Ppotaczek
by
7.5k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories