
The sum of two numbers is 44 and their difference is 8. 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 8. In other words, x minus y equals 8 and can be written as equation B:
x - y = 8
Now solve equation B for x to get the revised equation B:
x - y = 8
x = 8 + y
Then substitute x in equation A from the revised equation B and then solve for y:
x + y = 44
8 + y + y = 44
8 + 2y = 44
2y = 36
y = 18
Now we know y is 18. Which means that we can substitute y for 18 in equation A and solve for x:
x + y = 44
x + 18 = 44
X = 26
Summary: The sum of two numbers is 44 and their difference is 8. What are the two numbers? Answer: 26 and 18 as proven here:
Sum: 26 + 18 = 44
Difference: 26 - 18 = 8
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The Sum of Two Numbers is 44 and Their Difference is 9
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