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# If Sarah was 21 years old exactly 5 years ago, how old was Larry exact

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Math Expert
Joined: 02 Sep 2009
Posts: 49544
If Sarah was 21 years old exactly 5 years ago, how old was Larry exact  [#permalink]

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11 Nov 2014, 05:21
1
3
00:00

Difficulty:

15% (low)

Question Stats:

81% (01:23) correct 19% (01:11) wrong based on 234 sessions

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Tough and Tricky questions: Word Problems.

If Sarah was 21 years old exactly 5 years ago, how old was Larry exactly 9 years ago?

(1) Larry is now twice Sarah's age.

(2) Twelve years ago, Jill was 6 years older than Sarah and 20 years younger than Larry.

Kudos for a correct solution.

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Intern
Joined: 24 Apr 2013
Posts: 16
Location: Russian Federation
Re: If Sarah was 21 years old exactly 5 years ago, how old was Larry exact  [#permalink]

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11 Nov 2014, 08:21
1
Now-5: 21 (Sarah)
Now: 26 (Sarah)

1) Larry is now twice Sarah's age
Now-5: 21 (Sarah)
Now: 26 (Sarah), 26x2=52 (Larry)
So 9 years ago 52-9=43 (Larry)
Sufficient

2)Twelve years ago, Jill was 6 years older than Sarah and 20 years younger than Larry
Now-12: 14 (Sarah), 14+6=20 (Jill), 20+20=40 (Larry)
Now: 26 (Sarah)
So 9 years ago 40+3=43 (Larry)
Sufficient

Manager
Joined: 10 Sep 2014
Posts: 98
Re: If Sarah was 21 years old exactly 5 years ago, how old was Larry exact  [#permalink]

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11 Nov 2014, 10:49
1

I used scratch paper to make a quick little table

Sarah Larry
Current: 26 ?
5yr ago: 21 ?

All we need is information leading to Larry's age now, 5yr ago, or 9yr ago.

Statement: sufficient
This gives us Larry's age. That's all we need.
Sarah Larry
Current: 26 52
5yr ago: 21 47
9yr ago: 17 43

Statement 2: sufficient
Introduces a new person Jill. 12 years ago Sarah would have been 14, making Jill 20. This statement lets us know how much older Larry was 12 years ago. Add 3 years to find that he was 43 nine years ago.

Manager
Joined: 22 Sep 2012
Posts: 136
Concentration: Strategy, Technology
WE: Information Technology (Computer Software)
Re: If Sarah was 21 years old exactly 5 years ago, how old was Larry exact  [#permalink]

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11 Nov 2014, 19:50
1
Sarah was 21 years old exactly 5 years ago. Therefore, Sarah's age now is S(now) = 21+5 = 26

Statement 1: Larry is now twice Sarah's age
Larry(now) = 2* Sarah(now) = 2*26 =52
Larry (9 years ago) = 52 -9 = 43
Sufficient

Statement 2: Twelve years ago, Jill was 6 years older than Sarah and 20 years younger than Larry.

S( 12 years ago) = 26-12 = 14
Jill(12 years ago) = 14 + 6 = 20
Larry(12 years ago) = 20 + 20 =40
Larry (9 years ago) = 40 +(12-9) = 43
Sufficient

Intern
Joined: 09 Sep 2015
Posts: 24
If Sarah was 21 years old exactly 5 years ago, how old was Larry exact  [#permalink]

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12 Oct 2017, 08:46
Hi,
Solution follows:

Sarah was 21 years old exactly 5 years ago
=> let Sarah's present age be "S"
=> 5 yrs ago she was 21 => S-5=21 => S=26

Let Larry's age be "L"
we need to find Larry's age 9 yrs ago => "L-9=?"

Statement 1: Larry is now twice Sarah's age => L=2S => L=2*26 => L=52 yrs (Sufficient)

Statement 2: Twelve years ago, Jill was 6 years older than Sarah => J-12=S+6-12 => J=32 yrs
Twelve years ago, Jill was 20 years younger than Larry => J-12=L-20-12 => L=52 yrs (substitute
value of "J", hence Sufficient)

Hope it helps
Kudos pls.
Thanks.
Senior Manager
Status: love the club...
Joined: 24 Mar 2015
Posts: 275
Re: If Sarah was 21 years old exactly 5 years ago, how old was Larry exact  [#permalink]

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20 Oct 2017, 14:58
Bunuel wrote:

Tough and Tricky questions: Word Problems.

If Sarah was 21 years old exactly 5 years ago, how old was Larry exactly 9 years ago?

(1) Larry is now twice Sarah's age.

(2) Twelve years ago, Jill was 6 years older than Sarah and 20 years younger than Larry.

Kudos for a correct solution.

now sarah is 26 years old

(1)
larry is now 52 years old, so 9 years ago larry was 43 years old. pretty straightforward

(2)
this one is bit tricky

12 years ago
sarah was 14
jill was 20, so far so good

so, now jill is 32

one thing very important to notice here is that, 12 years ago jill was younger than larry by 20 years,
so its very natural to assume that until now, jill is still so ..

thus larry is now 32 + 20 = 52

9 years ago she was 43

D wins
thanks

cheers through the kudos button if this helps
Math Expert
Joined: 02 Sep 2009
Posts: 49544
Re: If Sarah was 21 years old exactly 5 years ago, how old was Larry exact  [#permalink]

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20 Oct 2017, 23:15
Bunuel wrote:

Tough and Tricky questions: Word Problems.

If Sarah was 21 years old exactly 5 years ago, how old was Larry exactly 9 years ago?

(1) Larry is now twice Sarah's age.

(2) Twelve years ago, Jill was 6 years older than Sarah and 20 years younger than Larry.

Kudos for a correct solution.

Check other Age Problems in our Special Questions Directory.
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Re: If Sarah was 21 years old exactly 5 years ago, how old was Larry exact &nbs [#permalink] 20 Oct 2017, 23:15
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# If Sarah was 21 years old exactly 5 years ago, how old was Larry exact

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