A.B a decimal. IF the average of A and B is the decimal A.B, how much greater is A than B?
Answer Choices
a. 18
b. 20
c. 24
d. 30
sry the question is actually tehn what is the value of A times B
(A+B)/2 = A + B/10
A/2 + B/2 = A + B/10
A/2 = 2/5 B
A = 4/5 B
A.B = 4.5
To find out how much greater A is than B, we need to understand that the average of A and B is equal to the decimal A.B.
Let's break down what this means:
First, we know that the average of A and B is (A + B) / 2 since we are adding A and B together and dividing by 2 to get the average.
Also, we know that the average is equal to the decimal A.B. So we can write the equation as:
(A + B) / 2 = A.B
To simplify this equation, we can multiply both sides by 2 to get rid of the fraction:
A + B = 2(A.B)
Now, let's convert the decimal A.B into a whole number by multiplying it by 10:
A.B × 10 = AB
Now, we can substitute AB in place of A.B in the equation:
A + B = 2(AB)
Expanding the equation, we have:
A + B = 2A + 2B
Simplifying further:
A - 2A = 2B - B
This becomes:
-A = B
Now, we can see that B is the negative of A, which means that A is greater than B. To find how much greater A is than B, we need to know the value of A. As no information is given about the specific values of A and B, we cannot determine the exact answer.
Therefore, the correct answer is: The amount by which A is greater than B cannot be determined with the information given.