sum of two numbers is 66 . one number is -37 find the other number
Answers
Let's start by calling the two numbers we are looking for x and y.
The sum of x and y is 66. In other words, x plus y equals 66 and can be written as equation A:
x + y = 66
The difference between x and y is 37. In other words, x minus y equals 37 and can be written as equation B:
x - y = 37
Now solve equation B for x to get the revised equation B:
x - y = 37
x = 37 + y
Then substitute x in equation A from the revised equation B and then solve for y:
x + y = 66
37 + y + y = 66
37 + 2y = 66
2y = 29
y = 14.5
Now we know y is 14.5. Which means that we can substitute y for 14.5 in equation A and solve for x:
x + y = 66
x + 14.5 = 66
X = 51.5
Summary: The sum of two numbers is 66 and their difference is 37. What are the two numbers? Answer: 51.5 and 14.5 as proven here:
Sum: 51.5 + 14.5 = 66
Difference: 51.5 - 14.5 = 37