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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, 16:02
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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
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Originally posted by skylimit on 15 Sep 2015, 13:35.
Last edited by skylimit on 15 Sep 2015, 16:02, edited 1 time in total.



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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, 13:37
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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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, 15:22
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/909Correction the question should read "What is the sum of their ages now?"



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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, 15:31
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 (E5) yrs old and Atu (A5) yrs. therefore: (E5) = 3*(A5) > 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



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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, 16:41
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 (E5) yrs old and Atu (A5) yrs. therefore: (E5) = 3*(A5) > 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, 21:41
Hi skylimit, Only certain questions can be easilysolved 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
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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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16 Sep 2015, 09:15
EMPOWERgmatRichC wrote: Hi skylimit,
Only certain questions can be easilysolved 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, 10:24
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. Answer: E
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Re: 5 years ago, Ebu was 3 times as old as Atu. In 3 years, Ebo will be
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