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21 May 2019, 22:48
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
88% (01:45) correct
13%
(01:53)
wrong
based on 80
sessions
History
Date
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Not Attempted Yet
If the average of three numbers is 5a − 2 and the average of two of the numbers is 4a + 2b + 1, which of the following is the other number in terms of a and b?
A. a − 2b − 3
B. 5a + 2b + 3
C. 7a − 4b − 8
D. 9a + 2b − 1
E. 11a − 2b − 5
A. a − 2b − 3
B. 5a + 2b + 3
C. 7a − 4b − 8
D. 9a + 2b − 1
E. 11a − 2b − 5
22 May 2019, 03:08
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Let the three numbers be \(x, y,\) and \(z\).
Average of three numbers = \(\frac{(x+y+z)}{3}\)= \(5a - 2\)
\(x + y + z = 15a - 6\) ........... Equation A
Average of the two numbers = \(\frac{(x+y)}{2}\) =\(4a + 2b + 1\)
\(x + y = 8a + 4b + 2\) ........... Equation B
Let us subtract Equation B from Equation A:
\(z = 7a - 4b - 8\)
The correct answer is C
Average of three numbers = \(\frac{(x+y+z)}{3}\)= \(5a - 2\)
\(x + y + z = 15a - 6\) ........... Equation A
Average of the two numbers = \(\frac{(x+y)}{2}\) =\(4a + 2b + 1\)
\(x + y = 8a + 4b + 2\) ........... Equation B
Let us subtract Equation B from Equation A:
\(z = 7a - 4b - 8\)
The correct answer is C
