Two numbers that have a sum of 7869 and a difference of 1879
a + b = 7869
a - b = 1879
------------ add
2 a = 9748
a = 4874
then
b = 7869-4874 = 2995
To find the two numbers, let's assign variables to represent them. Let's call one number "x" and the other number "y".
Given that the sum of the two numbers is 7869, we can write the equation: x + y = 7869.
Given that the difference between the two numbers is 1879, we can write the equation: x - y = 1879.
To solve this system of two equations, we can use the method of substitution or elimination.
Let's solve it using the method of substitution.
1. Rearrange the first equation to solve for one variable in terms of the other. We can solve for x: x = 7869 - y.
2. Substitute the expression for x in the second equation: (7869 - y) - y = 1879.
Simplify the equation: 7869 - 2y = 1879.
3. Solve for y by isolating the y-term: -2y = 1879 - 7869.
Simplify: -2y = -5990.
4. Divide by -2 to solve for y: y = -5990 / -2 = 2995.
Now that we have the value of y, we can substitute it back into one of the original equations to find the value of x.
Let's use the first equation: x + 2995 = 7869.
Solve for x: x = 7869 - 2995 = 4874.
Therefore, the two numbers are x = 4874 and y = 2995.