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26 Dec 2014, 08:33
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
(low)
Question Stats:
84% (01:03) correct
16%
(01:24)
wrong
based on 118
sessions
History
Date
Time
Result
Not Attempted Yet
Tough and Tricky questions: Word Problems.
X years from now, Jim will be Y years old. How old will Jim be Z years from now?
A. X + Y + Z
B. X – Y + Z
C. X – Y – Z
D. X + Z
E. Y – X + Z
Kudos for a correct solution.
26 Dec 2014, 09:53
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To answer this question, I will call Jim's current age J.
The question stem gives us a relation between J, X and Y (X years from now, Jim will be Y years old):
\(J + x = y\)
Now the stem asks for the age in z years. We can start with a very simple equation, which is obviously true:
\(J + z = J + z\)
We now substitute J with the first equation \(J + x = y\) => \(J = y - x\)
\(J + z = y - x + z\).
And this is what we find in Answer E.
We can confirm by picking numbers. If Jim is 10 years old now, x is 3, then y is 13. If z is 7, he must be 17 years old in z years:
\(10 + 7 = 13 - 3 + 7\).
The question stem gives us a relation between J, X and Y (X years from now, Jim will be Y years old):
\(J + x = y\)
Now the stem asks for the age in z years. We can start with a very simple equation, which is obviously true:
\(J + z = J + z\)
We now substitute J with the first equation \(J + x = y\) => \(J = y - x\)
\(J + z = y - x + z\).
And this is what we find in Answer E.
We can confirm by picking numbers. If Jim is 10 years old now, x is 3, then y is 13. If z is 7, he must be 17 years old in z years:
\(10 + 7 = 13 - 3 + 7\).
26 Dec 2014, 17:32
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Bunuel
Jims age after x years = Y
Jims Age today = y-x
Jims Age after z years = y-x+z
Ans E
