Question

The sum of two numbers is 20 and their difference is 8
What is the larger number and what is the smaller number
Larger. Smaller.

Answer 1

Answer:

14 and 6

Step-by-step explanation:

The sum of the two numbers can be represented by x + y.

The difference of the two numbers can be represented by x-y.

Add the two equations.

(x+y)+(x-y)=20+8

Remove the parentheses and simplify.

2x=28

Divide both sides by 2 to get x=14.

Substitute 14 into the equation x+y=20 to get 14+y=20.

Subtract 14 from both sides to get y=6.

Answer 2

The larger number is 14 and the smaller number is 6.

How to find the numbers?

We can assign variables to the numbers. Then we can make equations for the given numbers using the variables. We can solve the system of equations from here.

We can find the values of the numbers below:

Let the two numbers be x and y. Let x > y.

We know that:

x + y = 20

x - y = 8

Now, we can add the system of equations together:

x + y + x - y =20 + 8

⇒ 2x = 28

⇒ x = 14

We can now substitute the value of x = 14 in any equation:

x + y = 20

⇒ 14 + y = 20

⇒ y = 6

We have found the values of x and y. The values of x and y are 14 and 6 respectively.

Therefore, we have found the larger number as 14 and the smaller number as 6.

Learn more about the system of equations here: https://brainly.com/question/13729904

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