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# If in k+1 years from now John will be m years old, then how old was Jo

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If in k+1 years from now John will be m years old, then how old was Jo  [#permalink]

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16 Oct 2016, 05:41
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Difficulty:

25% (medium)

Question Stats:

82% (02:17) correct 18% (01:38) wrong based on 77 sessions

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If in k+1 years from now John will be m years old, then how old was John t-1 years ago?

A. m-k-t
B. m+k-t+2
C. m+k-t+1
D. k-m-t+2
E. k+t-m

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Re: If in k+1 years from now John will be m years old, then how old was Jo  [#permalink]

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16 Oct 2016, 06:57
1
John's current age = m-(k+1) = m-k-1

John's age t-1 years ago = m-k-1 - (t-1)

=m-k-t

A

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Posts: 4
Re: If in k+1 years from now John will be m years old, then how old was Jo  [#permalink]

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16 Oct 2016, 07:56
Now = m - (k+1)

Now - ( t - 1) = m - k - 1 - t + 1 = m - k - t

A

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Re: If in k+1 years from now John will be m years old, then how old was Jo  [#permalink]

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16 Oct 2016, 10:56
Bunuel wrote:
If in k+1 years from now John will be m years old, then how old was John t-1 years ago?

A. m-k-t
B. m+k-t+2
C. m+k-t+1
D. k-m-t+2
E. k+t-m

Quote:
In k+1 years from now John will be m years old

So, now John is m - ( k + 1 ) = m - k - 1

Quote:
how old was John t-1 years ago

Age t-1 years ago is m - k - 1 - ( t - 1 )

Or, Age t-1 years ago is m - k - 1 - t + 1

Or, Age t-1 years ago is m - k - t

Hence, Answer will definitely be (A) m - k - t
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If in k+1 years from now John will be m years old  [#permalink]

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06 Nov 2017, 11:17
1
Tridhipal wrote:
If in k+1 years from now John will be m years old, then how old was John t-1 years ago?
A) m-k-t
B) m+k-t+2
C) m+k-t+1
D) k-m-t+2
E) k+t-m

Let the present age be x

so x+k+1=m => x=m-k-1

hence t-1 years ago age was x-(t-1)

or, m-k-1-t+1 = m-k-t

Option A
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Joined: 06 Nov 2017
Posts: 1
Re: If in k+1 years from now John will be m years old  [#permalink]

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06 Nov 2017, 11:30
Present age is :- m-(k+1)
Age before (t-1) yrs was :- m-(k+1)-(t-1) = m-k-t
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Joined: 22 May 2016
Posts: 2099
If in k+1 years from now John will be m years old  [#permalink]

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06 Nov 2017, 12:28
1
Tridhipal wrote:
If in k+1 years from now John will be m years old, then how old was John t-1 years ago?
A) m-k-t
B) m+k-t+2
C) m+k-t+1
D) k-m-t+2
E) k+t-m

Choose smart numbers.
Let John's age now = 4
Let k = 1

In (k+1) = (1+1) = 2 years, John will be
(age now + 2)=
4 + 2 = 6 years old
So m = 6

Let t = 2.
So (t - 1) = (2 - 1) = 1 year ago.
John was:
(Age now) - (1 yr) = (4 - 1) = 3 yrs old

With k = 1, m = 6, t = 2, find the answer choice that yields 3

A) m-k-t
6 - 1 - 2 = 3. MATCH

B) m+k-t+2
6 + 1 - 2 + 2 = 7. No match

C) m+k-t+1
6 + 1 - 2 + 1 = 6. No match

D) k-m-t+2
1 - 6 - 2 + 2 = -5. No match

E) k+t-m
1 + 2 - 6 = -3. No match.

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Re: If in k+1 years from now John will be m years old, then how old was Jo  [#permalink]

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12 Nov 2017, 07:29
Bunuel wrote:
If in k+1 years from now John will be m years old, then how old was John t-1 years ago?

A. m-k-t
B. m+k-t+2
C. m+k-t+1
D. k-m-t+2
E. k+t-m

We can let John’s current age = J and we have:

J + k + 1 = m

J = m - k - 1

Thus, t - 1 years ago John was J - (t - 1) = m - k - 1 - t + 1 = m - k - t

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Re: If in k+1 years from now John will be m years old, then how old was Jo  [#permalink]

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06 Nov 2018, 05:36
Top Contributor
Bunuel wrote:
If in k+1 years from now John will be m years old, then how old was John t-1 years ago?

A. m-k-t
B. m+k-t+2
C. m+k-t+1
D. k-m-t+2
E. k+t-m

In k+1 years from now John will be m years old
So, m - (k + 1) = John's PRESENT age

How old was John t-1 years ago?
So, m - (k + 1) - (t - 1) = John's age (t-1) YEARS AGO

Simplify m - (k + 1) - (t - 1) to get: m - k - t

Cheers,
Brent
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Re: If in k+1 years from now John will be m years old, then how old was Jo &nbs [#permalink] 06 Nov 2018, 05:36
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