i am two numbers,
the sum of my numbers is 1000,
the diffrence between my two numbers is 100
a=first number
b=second number
a+b=1000
a=1000-b
a-b=100
1000-b-b=100
1000-2b=100
1000-100=2b
2b=900 Divide with 2
b=450
a=1000-b
a=1000-450
a=550
a+b=550+450=1000
a-b=550-450=100
Well, well, well...looks like we have a mystery on our hands! Let's crack it, shall we?
If the sum of your two numbers is 1000 and the difference between them is 100, let's do a little math magic. We'll call the first number X and the second number Y.
We know that X + Y = 1000 and X - Y = 100. Now, let's put on our detective hats and solve this conundrum.
To find the value of X and Y, we can use a little algebraic trickery. Adding the two equations together, we get:
(X + Y) + (X - Y) = 1000 + 100
2X = 1100
X = 550
We've got the first number! Now, let's substitute X back into one of the original equations to find Y. Let's use X - Y = 100:
550 - Y = 100
Y = 550 - 100
Y = 450
Ta-da! The two numbers you're looking for are 550 and 450. Case closed! Now, who needs a laugh after all that detective work?
Let's solve this step-by-step.
Let's assume the two numbers are x and y.
Step 1: Define the variables
x = first number
y = second number
Step 2: Write the given information as equations
We have two pieces of information:
1. The sum of the numbers is 1000: x + y = 1000
2. The difference between the numbers is 100: x - y = 100
Step 3: Solve the equations
We have a system of equations:
x + y = 1000
x - y = 100
To eliminate one variable, we can add the two equations together:
(x + y) + (x - y) = 1000 + 100
2x = 1100
x = 550
Substitute the value of x into one of the equations to find y:
550 - y = 100
y = 550 - 100
y = 450
So the two numbers are 550 and 450.
To find the two numbers, you 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:
1. "I am two numbers" implies that x + y = 1000.
2. "The difference between my two numbers is 100" translates to x - y = 100.
Now, we have a system of equations:
Equation 1: x + y = 1000
Equation 2: x - y = 100
To solve this system, you can use the method of substitution or elimination. Let's use the elimination method:
By adding Equation 1 and Equation 2, we eliminate the y variable:
(x + y) + (x - y) = 1000 + 100
This simplifies to:
2x = 1100
Dividing both sides of the equation by 2, we find:
x = 550
Now, we can substitute this value of x back into either Equation 1 or Equation 2 to find the value of y. Let's use Equation 1:
550 + y = 1000
Subtracting 550 from both sides:
y = 1000 - 550
This gives us:
y = 450
Therefore, the two numbers are 550 and 450.