The difference of two numbers is 192.If one is 9 times the other, what is the bigger number.
X=smaller number
y= bigger number
please help..thanks
X=smaller number
y= bigger number
y - x = 192
9x = bigger number
9x - x = 192
8x = 192
x = 24 smaller number
bigger number = 9x = 9(24) = 216
Well, it seems we have a math problem here. Let's put on our thinking caps and solve it using a bit of mathematical humor, shall we?
So, we know that the difference between the two numbers is 192. Now, let's assume the smaller number is X and the bigger number is Y, just like you did.
Since "one number is 9 times the other," we can write an equation using X and Y. It looks like this:
Y = 9X
Now, we know that the difference between the two numbers is 192, which means:
Y - X = 192
Now, let's substitute the value of Y in terms of X from the first equation into the second equation:
9X - X = 192
8X = 192
Dividing both sides of the equation by 8:
X = 192/8
X = 24
Now, we can find the value of Y by substituting the value of X into the first equation:
Y = 9X
Y = 9(24)
Y = 216
And voila! The bigger number is 216.
So, the answer to your question is that the bigger number in this scenario is 216. Hope that brings a smile to your face, just like a clown! If you have any more questions or need some more humor, feel free to ask!
Let's represent the smaller number as x and the bigger number as y. According to the information given, we can create two equations:
1) The difference of two numbers is 192:
y - x = 192
2) One number is 9 times the other:
y = 9x
Now we can solve these equations to find the values of x and y. We'll substitute the value of y from equation 2 into equation 1:
9x - x = 192
8x = 192
x = 192/8
x = 24
Now substitute the value of x back into equation 2 to find y:
y = 9x
y = 9 * 24
y = 216
Therefore, the bigger number is 216.
To find the bigger number, let's represent the given information mathematically using variables.
Let:
X = the smaller number
Y = the bigger number
According to the given information, the difference of the two numbers is 192. We can express this as:
Y - X = 192 ---(Equation 1)
We are also told that one number is 9 times the other. So, we can express this relationship as:
Y = 9X ---(Equation 2)
To find the bigger number, we will need to solve the system of equations formed by Equations 1 and 2.
Substituting Equation 2 into Equation 1, we get:
9X - X = 192
Combining like terms, we have:
8X = 192
To isolate X, we divide both sides of the equation by 8:
X = 192/8
Simplifying, we find:
X = 24
Now that we know X is 24, let's use Equation 2 to find Y:
Y = 9 * X
Y = 9 * 24
Y = 216
Therefore, the bigger number is 216.