the sum of two numbers is 28. their difference is 2. what are the numbers?
the correct answer is:
Sum=15+13=28
Difference =15-13=2
14 + 14 = 28
What other two numbers equals 28?
Is the difference between these two numbers 2?
i thought the two number have to have the difference that equal 2
Right. Which of these pairs of numbers have a difference of 2?
14 + 14 = 28
13 + 15 = 28
12 + 16 = 28
11 + 17 = 29
Correction: 11 + 17 = 28
To solve this problem, we can set up a system of equations based on the given information.
Let's assume the two numbers are x and y.
Based on the given information, we can set up two equations:
1. The sum of two numbers is 28:
x + y = 28
2. The difference between the two numbers is 2:
x - y = 2
Now, we have a system of equations. To solve it, we can use the method of elimination or substitution.
Let's take the method of elimination:
First, multiply the second equation by -1 to make the coefficients of y cancel out when we add the equations:
-x + y = -2
Now, add the two equations together:
(x + y) + (-x + y) = 28 + (-2)
Simplifying:
2y = 26
Divide both sides of the equation by 2:
y = 13
Now we can substitute the value of y into one of the original equations:
x + 13 = 28
Subtract 13 from both sides:
x = 15
So, the two numbers are 15 and 13.