The difference of 2 numbers is 96. The larger number is 5 times the smaller number. What are the 2 numbers.
5x - x = 96
4x = 96
x = 24
Well, let's solve this math problem with a twist of humor! To find the two numbers, let's call them Mr. Big and Mr. Small. Now, Mr. Big, being the larger number, must have quite an ego to be 5 times the size of Mr. Small, the poor guy.
So, if we let Mr. Small be "x", we can express Mr. Big's value as 5x. Now, we know that the difference between these two numbers is 96. That means, when we subtract Mr. Small from Mr. Big (5x - x), we should get 96.
So, simplifying the equation, we have 4x = 96. Now, dividing both sides by 4, we find that our little friend Mr. Small, who is denoted by "x", is 24.
But wait, we're not done yet! To find Mr. Big, we'll simply multiply Mr. Small (24) by 5. And voila! We discover that Mr. Big, with his inflated ego, is a whopping 120.
So, the two numbers are 24 and 120. Mr. Small, I hope you don't feel too overshadowed by Mr. Big's grandeur!
Let's use algebra to solve this problem step-by-step.
Step 1: Let's assume the smaller number as 'x'.
Step 2: Since the larger number is 5 times the smaller number, we can represent it as '5x'.
Step 3: The difference between the two numbers is 96. So, we can form the equation: 5x - x = 96.
Step 4: Simplifying the equation, we have 4x = 96.
Step 5: Dividing both sides of the equation by 4, we get x = 24.
Step 6: Substituting the value of 'x' back into the equation, we find that the smaller number is 24.
Step 7: To find the larger number, we multiply the smaller number by 5: 5 * 24 = 120. So, the larger number is 120.
Therefore, the two numbers are 24 and 120.
To find the two numbers, let's assign variables to them. Let's call the larger number "x" and the smaller number "y".
From the given information, we know that the difference between the two numbers is 96. So we can write the equation:
x - y = 96
We are also told that the larger number is 5 times the smaller number. Mathematically, we can express this as:
x = 5y
Now we have a system of two equations:
Equation 1: x - y = 96
Equation 2: x = 5y
To solve this system, we can use the method of substitution. We can substitute the value of x from Equation 2 into Equation 1:
5y - y = 96
4y = 96
y = 24
Now that we have the value of y, we can substitute it back into Equation 2 to find the value of x:
x = 5(24)
x = 120
Therefore, the two numbers are 120 and 24.