Answer:
23 and 14
Step-by-step explanation:
The sum of x and y is 37. In other words, x plus y equals 37 and can be written as equation A:
x + y = 37
The difference between x and y is 9. In other words, x minus y equals 9 and can be written as equation B:
x - y = 9
Now solve equation B for x to get the revised equation B:
x - y = 9
x = 9 + y
Then substitute x in equation A from the revised equation B and then solve for y:
x + y = 37
9 + y + y = 37
9 + 2y = 37
2y = 28
y = 14
Now we know y is 14. Which means that we can substitute y for 14 in equation A and solve for x:
x + y = 37
x + 14 = 37
X = 23
Summary: The sum of two numbers is 37 and their difference is 9. What are the two numbers? Answer: 23 and 14 as proven here:
Sum: 23 + 14 = 37
Difference: 23 - 14 = 9
