Answer And step-by-step explanation: The sum of x and y is 58. In other words, x plus y equals 58 and can be written as equation A:
x + y = 58
The difference between x and y is 18. In other words, x minus y equals 18 and can be written as equation B:
x - y = 18
Now solve equation B for x to get the revised equation B:
x - y = 18
x = 18 + y
Then substitute x in equation A from the revised equation B and then solve for y:
x + y = 58
18 + y + y = 58
18 + 2y = 58
2y = 40
y = 20
Now we know y is 20. Which means that we can substitute y for 20 in equation A and solve for x:
x + y = 58
x + 20 = 58
X = 38
Summary: The sum of two numbers is 58 and their difference is 18. What are the two numbers? Answer: 38 and 20 as proven here:
Sum: 38 + 20 = 58
Difference: 38 - 20 = 18
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