Question

The sum of two numbers is 28. The first number, x, is three times the second number, y.

Which system of equations can be used to find the two numbers?

Answer 1

The ratio is 1:3.
The second number,y, is 7 and the first number, x, is 21.

Answer 2

`x+y=28...(1)`

`x=3y...(2)`

Explanation:

Let x and y represent our required numbers.

We have been given that the sum of two numbers is 28. We can represent this information in an equation as:

`x+y=28...(1)`

We are also told that the first number, x, is three times the second number, y. We can represent this information in an equation as:

`x=3y...(2)`

Therefore, our required system of equation would be:

`x+y=28...(1)`

`x=3y...(2)`