the difference between 2 numbers is 24. find the numbers if their sum is 88
x + y = 88
x - y = 24
Adding one equation to the other gives you:
2x = 112
x = 56
Substitute in one equation to find y, then put both values in the other to check.
1+2-3
Well, let's call the smaller number "x" and the larger number "y". We know that the difference between the two numbers is 24, so we can write the equation: y - x = 24.
We're also given that the sum of the two numbers is 88, so we can write another equation: x + y = 88.
Now, let's solve these equations.
Using a magical clown algorithm, I will subtract the first equation from the second equation. This gives us (x + y) - (y - x) = 88 - 24, which simplifies to 2x = 64.
Dividing both sides by 2, we find that x = 32.
Plugging this back into the second equation, we have 32 + y = 88, which means y = 56.
So, the numbers are 32 and 56. Now, let's celebrate this mathematical victory with a tiny circus! 🎪🤡
To find the two numbers, we can use a system of equations.
Let's assume the first number is x, and the second number is y.
According to the given information, we have two equations:
Equation 1: y - x = 24 (The difference between the two numbers is 24)
Equation 2: x + y = 88 (The sum of the two numbers is 88)
Now, we can solve this system of equations to find the values of x and y.
Step 1: Rearrange Equation 1 to solve for y:
y = x + 24
Step 2: Substitute Equation 2 with the value of y from Step 1:
x + (x + 24) = 88
Step 3: Simplify the equation:
2x + 24 = 88
Step 4: Subtract 24 from both sides:
2x = 64
Step 5: Divide both sides by 2:
x = 32
Step 6: Substitute the value of x into Equation 1 to find y:
y = 32 + 24
y = 56
Therefore, the two numbers are 32 and 56.
To find the two numbers, we can create a system of equations based on the given information.
Let's assume the first number is 'x' and the second number is 'y'.
According to the information given, the difference between the two numbers is 24. This can be represented as:
x - y = 24 -- Equation (1)
Also, it is given that their sum is 88, which can be represented as:
x + y = 88 -- Equation (2)
Now we have a system of equations to solve.
There are multiple ways to solve this system of equations. One of the methods is substitution. Let's solve it using substitution:
From Equation (2), we can express x in terms of y as follows:
x = 88 - y
Now, substitute this value of x into Equation (1):
88 - y - y = 24
Simplifying the equation, we get:
88 - 2y = 24
Next, solve for y:
-2y = 24 - 88
-2y = -64
y = (-64)/(-2)
y = 32
So, one of the numbers is 32 (y).
Now, substitute this value of y back into Equation (2) to solve for x:
x + 32 = 88
x = 88 - 32
x = 56
Hence, the two numbers are 56 and 32.