Question
Download Solution PDFFind the Arithmetic Mean between (a − b) and (a + b)?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Two numbers: x = a - b and y = a + b
Concept used:
The arithmetic mean (average) between two numbers x and y is given by:
Arithmetic Mean = \(\dfrac{x + y}{2}\)
Calculation:
Using the given values of x and y:
Arithmetic Mean = \(\dfrac{(a - b) + (a + b)}{2}\)
Simplifying the expression in the numerator:
Arithmetic Mean = \(\dfrac{2a}{2}\)
Canceling out the common factor of 2:
Arithmetic Mean = a
∴ The arithmetic mean between a - b and a + b is a.
Last updated on Jan 29, 2025
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