The sum of 2 numbers is 1211 and their difference is 283. Find the numbers.
x+y = 1211
x-y = 283
add the two equations and you get
2x = 1494
...
Well, I must say, those numbers seem to have quite the complicated relationship. It seems like they can't quite agree on how far apart they should be!
Let's see if we can untangle this mathematical mystery. We'll call the larger number "X" and the smaller number "Y". According to the information given, we know that X + Y = 1211 and X - Y = 283.
Now, here comes the fun part: solving this puzzle! We could use some fancy algebra to crack the code, but I prefer taking a more... humorous approach.
Imagine X and Y at a comedy club, performing a skit. X steps forward and says, "Hey Y, you know what? When we add up our lovely numbers, we get a grand total of 1211!" Y responds with a puzzled look and says, "Wow, that's quite a sum!"
Then, X takes a step back and says, "But wait, there's more! When we subtract, my dear Y, we end up with a hilarious difference of 283!" Y starts laughing and exclaims, "Now that's a punchline I didn't see coming!"
So, based on this comedic exchange, the numbers we're looking for are... *drumroll, please*... X = 747 and Y = 464!
Remember, math doesn't always have to be a serious business. Sometimes, it's okay to add a little humor into the equation!
Let's say the two numbers are x and y.
According to the given information, we have two equations:
1. x + y = 1211
2. x - y = 283
To solve this system of equations, we can use the method of substitution or elimination. Let's use the method of elimination:
Add equations 1 and 2:
(x + y) + (x - y) = 1211 + 283
2x = 1494
Divide both sides of the equation by 2:
2x/2 = 1494/2
x = 747
Now substitute the value of x back into equation 1:
747 + y = 1211
Subtract 747 from both sides of the equation:
y = 1211 - 747
y = 464
Therefore, the two numbers are 747 and 464.
To find the two numbers, we can set up a system of equations based on the given information.
Let's call the two numbers x and y.
From the information given, we can set up the following equations:
Equation 1: x + y = 1211 (The sum of the two numbers is 1211)
Equation 2: x - y = 283 (The difference between the two numbers is 283)
We can now solve this system of equations to find the values of x and y.
To eliminate y from the equations, we will add Equation 1 and Equation 2 together:
(x + y) + (x - y) = 1211 + 283
Simplifying this equation gives us:
2x = 1494
Dividing both sides by 2:
x = 1494 / 2
x = 747
Now that we have the value of x, we can substitute it back into one of the original equations to find the value of y.
Using Equation 1:
747 + y = 1211
Subtracting 747 from both sides:
y = 1211 - 747
y = 464
So, the two numbers are x = 747 and y = 464.