the sum of 2 numbers is 32 and their difference is 4 . what are the numbers ?
Answers
The sum of two numbers is 32 and their difference is 4. 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 32. In other words, x plus y equals 32 and can be written as equation A:
x + y = 32
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 = 32
4 + y + y = 32
4 + 2y = 32
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 = 32
x + 14 = 32
X = 18
Summary: The sum of two numbers is 32 and their difference is 4. What are the two numbers? Answer: 18 and 14 as proven here:
Sum: 18 + 14 = 32
Difference: 18 - 14 = 4