The sum of two numbers is 45. The difference between the numbers is 37. What is the value of the 2 number?
f + s = 45
s - f = 37
adding equations
... 2 s = 82
To find the value of the two numbers, we can set up a system of equations.
Let's call the first number x and the second number y.
From the given information, we know two things:
1. The sum of the two numbers is 45: x + y = 45.
2. The difference between the two numbers is 37: x - y = 37.
We can solve this system of equations by adding the two equations together, which will cancel out the y term:
(x + y) + (x - y) = 45 + 37
Simplifying this equation, we get:
2x = 82
Now, divide both sides of the equation by 2 to solve for x:
x = 41
Substitute this value back into one of the original equations to solve for y. Let's use the equation x + y = 45:
41 + y = 45
Subtract 41 from both sides of the equation to solve for y:
y = 45 - 41 = 4
So, the two numbers are x = 41 and y = 4.