Question

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AA.5 Find two numbers based on sum, difference, product, and quotient DAV
The sum of two numbers is 12. Their difference is 4. What are the two numbers?
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Answer 1

The sum of two numbers is 12 and their difference is 4. The two numbers are 8 and 4.

Step-by-step explanation:

Let's call the two numbers x and y. We are given that the sum of the numbers is 12, so we can write the equation x + y = 12. We are also given that their difference is 4, so we can write the equation x - y = 4. We can solve these two equations to find the values of x and y.

1. Add the two equations together: (x + y) + (x - y) = 12 + 4.
2. Combine like terms: 2x = 16.
3. Divide both sides of the equation by 2 to solve for x: x = 8.
4. Substitute the value of x back into one of the original equations to solve for y: 8 + y = 12.
5. Solve for y: y = 4.

So, the two numbers are 8 and 4.

Learn more about Solving equations involving sums and differences of numbers