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8 years from now, the bottle of wine labeled 'Aged' will be [#permalink]

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05 Mar 2010, 22:21

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8 years from now, the bottle of wine labeled 'Aged' will be 7 times older than the bottle of wine labe1ed 'Table.' I year ago, the bottle of wine labeled 'Table' was one-fourth as old as the bottle of wine labeled 'Vintage.' If the'Aged' bottle was 20 times older than the 'Vintage' bottle 2 years ago, then how old is each bottle now?

this question from manhattan word prep in solution the equations are given as: a+8 = 7( t+8) t-1 = ( v-1)/4 & a-2 =20( v-2)

i am just curious to know if first and third equations are translated as given in problem. what i perceived is it should be a+8 = (a+8) + 7( t+8) t-1 = ( v-1)/4 & a-2 =(v-2)+20( v-2) as question stem says 7 times older than.. and 20times older than..

please, any one can clarify this. Thanks

Last edited by Bunuel on 14 May 2013, 02:09, edited 1 time in total.

8 years from now, the bottle of wine labeled 'Aged' will be 7 times older than the bottle of wine labe1ed 'Table.' I year ago, the bottle of wine labeled 'Table' was one-fourth as old as the bottle of wine labeled 'Vintage.' If the'Aged' bottle was 20 times older than the 'Vintage' bottle 2 years ago, then how old is each bottle now?

Let the current age of each wine be A - Aged, V - Vintage & T - Table.

You get three eq from the wordings: A+8 = 7(t+8) A-2 = 20(V-2) T-1 = 0.25(V-1)

Solving them you get T = 2, V = 5, A = 62
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That can't logically make any sense unless t=-8. It has to be translated as you had it above. Here’s what I got.

thank you for the reply. my doubt is whether the wording of question stem is correct. first equation is equivalent to saying "x is 7 times as old as y", not as mentioned in question stem. similarly 3rd equation..

8 years from now, the bottle of wine labeled 'Aged' will be 7 times older than the bottle of wine labe1ed 'Table.' ==> when you say 8 years from now, we should add 8 to the current value. So it will be Aged+8 and Table+8. At this time first one is 7 times older than second. Times is always a multiplication. So Equation is Aged+8 = 7 (Table+8)

If the'Aged' bottle was 20 times older than the 'Vintage' bottle 2 years ago ==> With the same logic, 2 years ago means subtract 2 from those values. So it will be Aged-2 and Vintage-2. 20 times older again will be a multiplication. So Equation is Aged-2 = 20 (Vintage-2)

That can't logically make any sense unless t=-8. It has to be translated as you had it above. Here’s what I got.

thank you for the reply. my doubt is whether the wording of question stem is correct. first equation is equivalent to saying "x is 7 times as old as y", not as mentioned in question stem. similarly 3rd equation..

No the first equation is not equivalent to saying "x is 7 times as old as y", take for example, x is 10 yrs old now and y is 118 yrs old, so right now x:y is 10:118 which is 5:59 but after 8 years x will be 18 and y will 126 and now the ratio x:y is 18:126 and if u simplify it is 1:7 Age always increase linearly with years so you cannot say that the multiplicative ratio holds good as the years pass by.
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Re: 8 years from now, the bottle of wine labeled 'Aged' will be [#permalink]

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13 Nov 2013, 10:52

einstein10 wrote:

8 years from now, the bottle of wine labeled 'Aged' will be 7 times older than the bottle of wine labe1ed 'Table.' I year ago, the bottle of wine labeled 'Table' was one-fourth as old as the bottle of wine labeled 'Vintage.' If the'Aged' bottle was 20 times older than the 'Vintage' bottle 2 years ago, then how old is each bottle now?

this question from manhattan word prep in solution the equations are given as: a+8 = 7( t+8) t-1 = ( v-1)/4 & a-2 =20( v-2)

i am just curious to know if first and third equations are translated as given in problem. what i perceived is it should be a+8 = (a+8) + 7( t+8) t-1 = ( v-1)/4 & a-2 =(v-2)+20( v-2) as question stem says 7 times older than.. and 20times older than..

please, any one can clarify this. Thanks

I honestly think this problem takes way too long and there isn't really any shortcut to it. Would take an educated guess on real GMAT and move on with it Cheers J

Re: 8 years from now, the bottle of wine labeled 'Aged' will be [#permalink]

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15 Sep 2016, 12:26

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