Question

3. The sum of two numbers is 26 and their difference is 14, find the numbers.​

Answer 1

Answer:

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Step-by-step explanation:

The sum of two numbers is 26 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 26. In other words, x plus y equals 26 and can be written as equation A:

x + y = 26

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 = 26

14 + y + y = 26

14 + 2y = 26

2y = 12

y = 6

Now we know y is 6. Which means that we can substitute y for 6 in equation A and solve for x:

x + y = 26

x + 6 = 26

X = 20

Summary: The sum of two numbers is 26 and their difference is 14. What are the two numbers? Answer: 20 and 6 as proven here:

Sum: 20 + 6 = 26

Difference: 20 - 6 = 14

l hope it's helps help ✨❤️