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22 Dec 2020, 06:00
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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:
84% (01:26) correct
16%
(01:42)
wrong
based on 63
sessions
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Not Attempted Yet
Three consecutive odd integers are written in increasing order. The sum of the first and second and twice the third is 46. What is the second number?
(A) 7
(B) 9
(C) 11
(D) 13
(E) 15
(A) 7
(B) 9
(C) 11
(D) 13
(E) 15
22 Dec 2020, 06:12
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Since the integers are odd and consecutive, let them be x, (x + 2) and (x + 4)
Sum of the first and second and twice the third = 46
x + (x + 2) + 2(x + 4) = 4x + 10 = 46
4x = 36 and hence x = 9
The second number = x + 2 = 11
Option C
Arun Kumar
Sum of the first and second and twice the third = 46
x + (x + 2) + 2(x + 4) = 4x + 10 = 46
4x = 36 and hence x = 9
The second number = x + 2 = 11
Option C
Arun Kumar
22 Dec 2020, 07:37
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Let the first odd number be\( x\).
Therefore, the 3 consecutive odd numbers are : \(x\) , \(x+2\) ,\( x+4\).
According to the stimulus:\( x+x+2+2(x+4)=46\).
\(2x+2+2x+8=46\). => \(4x+10=46\). => \(4x=36\) => \(x=9.\)
When the first odd number is\( 9\), the second consecutive odd number after \(9\) is \(9+2\) = \(11\).
Therefore, the OA is C.
Therefore, the 3 consecutive odd numbers are : \(x\) , \(x+2\) ,\( x+4\).
According to the stimulus:\( x+x+2+2(x+4)=46\).
\(2x+2+2x+8=46\). => \(4x+10=46\). => \(4x=36\) => \(x=9.\)
When the first odd number is\( 9\), the second consecutive odd number after \(9\) is \(9+2\) = \(11\).
Therefore, the OA is C.
