Sum of 2 numbers =14
Difference of the numbers =40
Find the numbers.
What is their difference?(show work)
Difference of the numbers =40
a + b = 14
a - b = 40
============ add
2 a = 54
a = 27
b = 14 - 27 = - 13
Let's assume the two numbers are x and y.
From the given information, we know that the sum of the two numbers is 14:
x + y = 14 ----(Equation 1)
We are also given that the difference between the two numbers is 40:
x - y = 40 ----(Equation 2)
To find the values of x and y, we can solve these two equations simultaneously. One way to do this is by using the method of elimination:
We can add Equations 1 and 2 together to eliminate the variables y:
(x + y) + (x - y) = 14 + 40
Simplifying the equation, we get:
2x = 54
Now, divide both sides of the equation by 2:
2x/2 = 54/2
x = 27
To find the value of y, substitute the value of x back into either Equation 1 or Equation 2. Let's use Equation 1:
27 + y = 14
Subtract 27 from both sides:
y = 14 - 27
y = -13
So the two numbers are 27 and -13.
To find their difference, subtract the smaller number from the larger number:
27 - (-13) = 27 + 13 = 40
Therefore, the difference between the two numbers is 40.