Question:
@ (A,B) = average of A and B
*(A,B) = product of A and B
/(A,B) = A divided by B
Which expression gives the sum of A and B?
@ (A,B) = average of A and B
*(A,B) = product of A and B
/(A,B) = A divided by B
Which expression gives the sum of A and B?
Show Hint
Use average × 2 to get original sum when given mean of two numbers.
Updated On: Aug 13, 2025
- *(@(A, B), 2)
- /(@(A, B), 2)
- @( *(A, B), 2)
- @( /(A, B), 2)
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The Correct Option is A
Solution and Explanation
First, let's break down the operations defined in the question:
- @(A,B) = average of A and B
- *(A,B) = product of A and B
- /(A,B) = A divided by B
We need to find an expression for the sum of A and B.
Consider the expression *(@(A, B), 2).
1. Calculate the average of A and B using @(A, B):
\[\text{@}(A, B) = \frac{A+B}{2}\]
2. Multiply the result by 2 using the * function:
\[*\left(\frac{A+B}{2}, 2\right) = \frac{A+B}{2} \times 2 = A + B\]
Thus, the expression *(@(A, B), 2) indeed gives the sum of A and B.
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