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23 Oct 2019, 11:39
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
78% (01:18) correct
22%
(01:38)
wrong
based on 165
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x , y and z are three consecutive odd integers. If x + y = z + 9 , what is the value of z ?
a. 13
b. 15
c. 17
d. 19
e. none of those
Posted from my mobile device
a. 13
b. 15
c. 17
d. 19
e. none of those
Posted from my mobile device
23 Oct 2019, 11:52
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Unless the question tells you that x, y and z are three consecutive odd integers in increasing order, there's more than one solution. If we do know x < y < z, then y = x + 2, and z = x + 4, since consecutive odd integers are 2 apart. Substituting into the given equation, we have
x + (x+2) = (x + 4) + 9
2x + 2 = x + 13
x = 11
Since z = x + 4, we find z = 15.
But if we don't know x < y < z, then it might be that z = 3, x = 5, and y = 7, for example. What is the source of the question?
x + (x+2) = (x + 4) + 9
2x + 2 = x + 13
x = 11
Since z = x + 4, we find z = 15.
But if we don't know x < y < z, then it might be that z = 3, x = 5, and y = 7, for example. What is the source of the question?
23 Oct 2019, 12:10
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jackfr2
First few consecutive Odd Numbers are - \(1, 3, 5, 7, 9, 11, 13, 15, 17, 19..........................\)
Now we know, \(x + y = z + 9\)
Or, \(x + y - z = 9\)
Check the values using options...
(A) If z = 13 , x + y = 9 + 11 => 20 & x + y - z = 7
(B) If z = 15, x + y = 11 + 13 => 24 & x + y - z = 9 ( We do not need to go further )
I will mark my Answer as (B) and move on to the next question..
