Respuesta :
Since we know the mean of the two numbers is 10.01, we can find the total of the two numbers by multiplying the mean by 2.
10.01 x 2 = 20.02
The total is 20.02
There are two numbers that add up to 20.02, one of them is 5.5 times less than the other. So we define the smaller of the number as x and the other greater number will be 5.5x.
Smaller number = x
larger numer = 5.5x
Now we add both the variables together and it should give us 20.02.
x + 5.5x = 20.02
6.5 x = 20.02
Since 6.5x is 20.02, we divide 20.02 by 6.5 to get us the value of x
x = 20.02 ÷ 6.5
x = 3.08
x is the smaller number, so the smaller number is 3.08. Now find the greater number by multiplying x by 5.5 times
5.5x = 3.08 x 5.5
5.5x = 16.94
So now, we have found the greater number, which is 16.94.
We can check by adding 3.08 to 16.94, which gives us 20.02 and that is correct.
Anwer: The numbers are 3.08 and 16.94.
10.01 x 2 = 20.02
The total is 20.02
There are two numbers that add up to 20.02, one of them is 5.5 times less than the other. So we define the smaller of the number as x and the other greater number will be 5.5x.
Smaller number = x
larger numer = 5.5x
Now we add both the variables together and it should give us 20.02.
x + 5.5x = 20.02
6.5 x = 20.02
Since 6.5x is 20.02, we divide 20.02 by 6.5 to get us the value of x
x = 20.02 ÷ 6.5
x = 3.08
x is the smaller number, so the smaller number is 3.08. Now find the greater number by multiplying x by 5.5 times
5.5x = 3.08 x 5.5
5.5x = 16.94
So now, we have found the greater number, which is 16.94.
We can check by adding 3.08 to 16.94, which gives us 20.02 and that is correct.
Anwer: The numbers are 3.08 and 16.94.
To solve the question we must know about the arithmetic mean.
Arithmetic mean
The arithmetic mean is the average of all the observations of a set of numbers. it is found by dividing the sum of all the observations of the set by the number of observations in the set.
[tex]\rm{Arithmetic\ mean=\dfrac{Sum\ of\ observations}{Number\ of\ observations}[/tex]
The numbers are 3.08 and 16.94.
Given to us
- The arithmetic mean of two numbers is 10.01.
- one of them is 5.5 times less than the other.
Solution
Assumption
Let one number be x and the other be y.
Statement 2,
one of them is 5.5 times less than the other.
[tex]x= 5.5 y[/tex]
Statement 1,
The arithmetic mean of two numbers is 10.01.
[tex]\dfrac{x+y}{2} = 10.01\\ [/tex]
substituting the value of x,
[tex]\dfrac{(5.5y)+y}{2} = 10.01\\\\ \dfrac{6.5y}{2} = 10.01\\\\ 6.5y = 10.01 \times 2\\\\ y = \dfrac{10.01 \times 2}{6.5}\\\\ y = 3.08[/tex]
Substituting the value of y in x's equation,
[tex]x= 5.5 y\\ x= 5.5\times {3.08}\\ x= 16.94[/tex]
Hence, the numbers are 3.08 and 16.94.
Learn more about Arithmetic mean:
https://brainly.com/question/20563184
