Question

The sum of two numbers is 44 and the difference is 14. What are the numbers?

Answer 1

`x + y = 44 \\ x - y = 14 \\ x = 29 \\ y = 44 - 29 = 15`

Explanation:

Add the two equations together, yoh get 2x =58, since y will cancels each other. Divide 2x with 58 and you get x = 29, rhen find y by substracting 29 from 44 and you get y = 15

Answer 2

Hope it may help u

Explanation:

The sum of two numbers is 44 and their difference is 14. What are the two numbers? Let's start by calling the two numbers we are looking for x and y.

The sum of x and y is 44. In other words, x plus y equals 44 and can be written as equation A:

x + y = 44

The difference between x and y is 14. In other words, x minus y equals 14 and can be written as equation B:

x - y = 14

Now solve equation B for x to get the revised equation B:

x - y = 14

x = 14 + y

Then substitute x in equation A from the revised equation B and then solve for y:

x + y = 44

14 + y + y = 44

14 + 2y = 44

2y = 30

y = 15

Now we know y is 15. Which means that we can substitute y for 15 in equation A and solve for x:

x + y = 44

x + 15 = 44

X = 29

Summary: The sum of two numbers is 44 and their difference is 14. What are the two numbers? Answer: 29 and 15 as proven here:

Sum: 29 + 15 = 44

Difference: 29 - 15 = 14