find two numbers whose sum is 26 and difference is 4
Answers
Step-by-step explanation:
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 4. In other words, x minus y equals 4 and can be written as equation B:
x - y = 4
Now solve equation B for x to get the revised equation B:
x - y = 4
x = 4 + y
Then substitute x in equation A from the revised equation B and then solve for y:
x + y = 26
4 + y + y = 26
4 + 2y = 26
2y = 22
y = 11
Now we know y is 11. Which means that we can substitute y for 11 in equation A and solve for x:
x + y = 26
x + 11 = 26
X = 15
Summary: The sum of two numbers is 26 and their difference is 4. What are the two numbers? Answer: 15 and 11 as proven here:
Sum: 15 + 11 = 26
Difference: 15 - 11 = 4
Answer:
15 and 11
Step-by-step explanation:
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