Word Problem 11
Word Problem 11: The average of two numbers is XY.If one number is equal to X ,the other number is equal to_________?
a). X b). 2Y c). XY-X d). 2 XY – X
Solution:
We know the average of a given number of terms is calculated by dividing the sum of terms by their number.
There are two numbers and one number is given as X
We suppose the other number is Y
then their sum = X+Y
their number (number of terms) = 2
so,
\[ Average= \frac{X+Y}{2} \]
But the average is XY (given)
So,
\[ XY=\frac{X+Y}{2} \]
Hence,
\[ 2XY=X+Y \]
\[ Y=2XY-X \]
So option d is correct!