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# 5 years ago, Ebu was 3 times as old as Atu. In 3 years, Ebo will be

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Intern
Joined: 10 Sep 2015
Posts: 26
5 years ago, Ebu was 3 times as old as Atu. In 3 years, Ebo will be  [#permalink]

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Updated on: 15 Sep 2015, 15:02
1
2
00:00

Difficulty:

25% (medium)

Question Stats:

76% (02:00) correct 24% (02:30) wrong based on 95 sessions

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5 years ago, Ebu was 3 times as old as Atu. In 3 years, Ebo will be twice as old as Atu. What is the sum of their ages now?
A) 18
B) 24
C) 28
D) 35
E) 42

Source: GMAT Prep Now - http://www.gmatprepnow.com/module/gmat- ... /video/909

Originally posted by skylimit on 15 Sep 2015, 12:35.
Last edited by skylimit on 15 Sep 2015, 15:02, edited 1 time in total.
Intern
Joined: 10 Sep 2015
Posts: 26
Re: 5 years ago, Ebu was 3 times as old as Atu. In 3 years, Ebo will be  [#permalink]

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15 Sep 2015, 12:37
These questions make my head spin. Even if I make a table like they suggest, I don't fill it in correctly.
I've been trying to test answers for a lot of the word problems questions but it doesn't always work or I don't know how to do it right.
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Joined: 14 Jul 2015
Posts: 22
Location: India
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WE: Business Development (Energy and Utilities)
Re: 5 years ago, Ebu was 3 times as old as Atu. In 3 years, Ebo will be  [#permalink]

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15 Sep 2015, 14:22
skylimit wrote:
5 years ago, Ebu was 3 times as old as Atu. In 3 years, Ebo will be twice as old as Atu. What is the age of their ages now?
A) 18
B) 24
C) 28
D) 35
E) 42

Source: GMAT Prep Now - http://www.gmatprepnow.com/module/gmat- ... /video/909

Correction- the question should read- "What is the sum of their ages now?"
Intern
Joined: 14 Jul 2015
Posts: 22
Location: India
GMAT 1: 660 Q49 V32
WE: Business Development (Energy and Utilities)
Re: 5 years ago, Ebu was 3 times as old as Atu. In 3 years, Ebo will be  [#permalink]

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15 Sep 2015, 14:31
1
skylimit wrote:
These questions make my head spin. Even if I make a table like they suggest, I don't fill it in correctly.
I've been trying to test answers for a lot of the word problems questions but it doesn't always work or I don't know how to do it right.

These kind of questions become really easy if you stick to the basic principle of fixing the current age and then use it as a reference to draw equation with given condition, be it in the past or future.

Consider the current age of Ebu= E & that of Atu= A.

Now look at the 1st condition: i.e. 5 years ago.
5 years ago, Ebu would be (E-5) yrs old and Atu- (A-5) yrs.

therefore: (E-5) = 3*(A-5) ---> 3A - E = 10

From the 2nd condition, Ebu = E+3 and Atu = A+3

therefore: (E+3) = 2*(A+3) ---> 2A - E = -3

Solving both equations simultaneously: A = 13 and E = 29

Therefore sum of their ages = 13+29 = 42

Ans- E
Intern
Joined: 10 Sep 2015
Posts: 26
Re: 5 years ago, Ebu was 3 times as old as Atu. In 3 years, Ebo will be  [#permalink]

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15 Sep 2015, 15:41
sunnysid wrote:
skylimit wrote:
These questions make my head spin. Even if I make a table like they suggest, I don't fill it in correctly.
I've been trying to test answers for a lot of the word problems questions but it doesn't always work or I don't know how to do it right.

These kind of questions become really easy if you stick to the basic principle of fixing the current age and then use it as a reference to draw equation with given condition, be it in the past or future.

Consider the current age of Ebu= E & that of Atu= A.

Now look at the 1st condition: i.e. 5 years ago.
5 years ago, Ebu would be (E-5) yrs old and Atu- (A-5) yrs.

therefore: (E-5) = 3*(A-5) ---> 3A - E = 10

From the 2nd condition, Ebu = E+3 and Atu = A+3

therefore: (E+3) = 2*(A+3) ---> 2A - E = -3

Solving both equations simultaneously: A = 13 and E = 29

Therefore sum of their ages = 13+29 = 42

Ans- E

Thanks sunnysid,

Your solution was pretty much the same as the video explanation.
Is there a way to test the answers for this question? I know it's trickier when they ask to find the sum, but ....
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Re: 5 years ago, Ebu was 3 times as old as Atu. In 3 years, Ebo will be  [#permalink]

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15 Sep 2015, 20:41
Hi skylimit,

Only certain questions can be easily-solved by TESTing THE ANSWERS. One of the factors that you have to be paying careful attention to is what the specific question asks you to figure out; in almost all cases, you have to be solving for just 1 variable. In this prompt, we're asked for the sum of 2 variables, so it's not a great candidate for TESTing THE ANSWERS.

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Intern
Joined: 10 Sep 2015
Posts: 26
Re: 5 years ago, Ebu was 3 times as old as Atu. In 3 years, Ebo will be  [#permalink]

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16 Sep 2015, 08:15
EMPOWERgmatRichC wrote:
Hi skylimit,

Only certain questions can be easily-solved by TESTing THE ANSWERS. One of the factors that you have to be paying careful attention to is what the specific question asks you to figure out; in almost all cases, you have to be solving for just 1 variable. In this prompt, we're asked for the sum of 2 variables, so it's not a great candidate for TESTing THE ANSWERS.

GMAT assassins aren't born, they're made,
Rich

I can appreciate that.
I was trying to find a relationship between the 2 variables but it's tricky because we don't know info about their ages now. So I was taking each answer and adding 6 (3 yrs for each person) and then trying to use that new number and make it work with the info we have about 3 years from now.
That's when my head spinning started.
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Re: 5 years ago, Ebu was 3 times as old as Atu. In 3 years, Ebo will be  [#permalink]

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23 Feb 2017, 09:24
2
skylimit wrote:
5 years ago, Ebu was 3 times as old as Atu. In 3 years, Ebo will be twice as old as Atu. What is the sum of their ages now?
A) 18
B) 24
C) 28
D) 35
E) 42

We can let E = the age of Ebu today and A = the age of Atu today. Five years ago, Ebu was (E - 5) and Atu was (A - 5).

Since 5 years ago Ebu was 3 times as old as Atu, we can create the following equation:

E - 5 = 3(A - 5)

E - 5 = 3A - 15

E = 3A - 10

In 3 years, Ebo will be (E + 3) and Atu will be (A + 3). Since in 3 years Ebo will be twice as old as Atu, we can create the following equation:

E + 3 = 2(A + 3)

E + 3 = 2A + 6

E = 2A + 3

Since E = 3A - 10 and E = 2A + 3, we can equate them and determine A:

3A - 10 = 2A + 3

A = 13

Since A = 13, E = 3(13) - 10 = 29, and thus, the sum of their ages is 13 + 29 = 42.

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Re: 5 years ago, Ebu was 3 times as old as Atu. In 3 years, Ebo will be  [#permalink]

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21 Jun 2018, 08:16
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Re: 5 years ago, Ebu was 3 times as old as Atu. In 3 years, Ebo will be &nbs [#permalink] 21 Jun 2018, 08:16
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