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X years from now, Jim will be Y years old. How old will Jim be Z year

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Bunuel
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X years from now, Jim will be Y years old. How old will Jim be Z year [#permalink] New post   26 Dec 2014, 08:33
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A
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C
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E

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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

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E
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Re: X years from now, Jim will be Y years old. How old will Jim be Z year [#permalink] New post   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:

\(10 + 7 = 13 - 3 + 7\).
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Re: X years from now, Jim will be Y years old. How old will Jim be Z year [#permalink] New post   26 Dec 2014, 17:32
Bunuel wrote:

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.



Jims age after x years = Y
Jims Age today = y-x
Jims Age after z years = y-x+z

Ans E
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Re: X years from now, Jim will be Y years old. How old will Jim be Z year [#permalink] New post   27 Dec 2014, 00:57
Current age of Jim be j

x years from now jim's age= j+x= Y.--> j=y-x

Z from years from now jim's age A= j+z -->substituting value of j from above --> A=y-x+z.. Hence answer is E.
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Re: X years from now, Jim will be Y years old. How old will Jim be Z year [#permalink] New post   02 Jan 2015, 02:17
Answer = E. Y – X + Z

Current age of Jim = y-x

Z years from now = (y-x) + z
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Re: X years from now, Jim will be Y years old. How old will Jim be Z year [#permalink] New post   08 Jan 2015, 09:35
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Bunuel wrote:

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.


OFFICIAL SOLUTION:

(E) If Jim will be Y years old in X years, then his current age is:
Y – X years.

Therefore, in Z years, his age will be:Y – X + Z years.

The correct answer is choice (E)

Another way to arrive at this same answer is to make up numbers for the variables and plug them.
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Re: X years from now, Jim will be Y years old. How old will Jim be Z year [#permalink] New post   15 Dec 2018, 20:46
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Re: X years from now, Jim will be Y years old. How old will Jim be Z year [#permalink]
15 Dec 2018, 20:46
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