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# DS: Richard (m08q20)

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28 Nov 2008, 15:12
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If Richard is 3 years younger than his sister, how old will Richard be in 5 years?

1. Two years ago Richard was twice as young as his sister.
2. If Richard's sister were born 2 years earlier, she would now be twice as old as Richard.

[Reveal] Spoiler: OA
D

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Can someone outline the equation?

For 1) I have R - 2 = 2 (S -2)

For 2) I have S - 2 = 2R

Is this correct?
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28 Nov 2008, 16:12
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1 - Seems to be right
2 - I belive it should be s+2 = 2r because if she was born two years earlier she would be 2 years older now.

D
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28 Nov 2008, 17:15
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Two years ago Richard was twice as young as his sister

will translate to
R-2=(S-2)/2

Strange way of stating it, but i guess you can infer it from the fact that Richard is younger than his sister.

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28 Nov 2008, 21:27
D

it should be S+ 2 = 2R
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19 Aug 2010, 11:46
The question asks for Richard's age in 5 yrs.. How is it possible to arrive at the value by D?

R = S- 3.

1. R - 2 = 2 (S -2)

s-3-2 = 2(s-2)
s=-1 ??????????????
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19 Aug 2010, 22:15
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Richard is 3 years younger than his sister. We just need to know his current age to know his age in 5 years. Lets R be his current age and S be the current age of his sister. S=R+3

1/ S-2=2(R-2)-->S=2R-2 from this we can write 2R-2=R-3-->R=5 sufficient (Richard will be 10)
2/S+2=2R-->S=2R-2 from this we can write 2R-2=R-3-->R=5 sufficient (Richard will be 10)
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20 Aug 2010, 09:37
Thanks Francois. Me too got confused by wording of (1).
Instead of 2(R-2) = s-2 i wrote r-2= 2(s-2)
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20 Aug 2010, 14:05
let Richard - x, and his sister (now) - x+3. We need to find x+5
1. x-2 = (x+3)-2/2
2x-4=x+1
x=5 5+5 =10 Sufficient

2. (x+3)+2=2x
x=5 5+5 = 10 Sufficient

So it's D
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22 Aug 2010, 05:32
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I just put the real numbers:

The difference is 3 years, how old will he be in 5 years?
1. If the difference is 3 years, he was 3 and she was 6. Now he is 5 (2 years later), in 5 years will be 10. Sufficient.
2. If the difference was 5 years instead, she is twice as old as him, means that he is 5 she is 10. He'll be 10 in 5 years. Sufficient.

I didn't find the wording tricky.
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02 Feb 2011, 10:31
sister now : s, richard now: s-3
st 1. 2(s-3-2) = s-2
St 2. s-2=2(s-3)

Could somebody help? whats wrong with my statements and logic?
thanks
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02 Feb 2011, 12:21
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tinki wrote:
sister now : s, richard now: s-3
st 1. 2(s-3-2) = s-2
St 2. s-2=2(s-3)

Could somebody help? whats wrong with my statements and logic?
thanks

If Richard is 3 years younger than his sister, how old will Richard be in 5 years?

Given: r=s-3. Question: r+5=s+2=?

(1) Two years ago Richard was twice as young as his sister --> 2*(s-3-2)=s-2 --> s=8 --> r+5=s+2=10. Sufficient.
(2) If Richard's sister were born 2 years earlier, she would now be twice as old as Richard --> if Richard's sister were born 2 years earlier she would now be s+2 years old not s-2, so s+2=2(s-3) --> s=8 --> r+5=s+2=10. Sufficient.

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02 Feb 2011, 14:04
Bunuel wrote:
tinki wrote:
sister now : s, richard now: s-3
st 1. 2(s-3-2) = s-2
St 2. s-2=2(s-3)

Could somebody help? whats wrong with my statements and logic?
thanks

If Richard is 3 years younger than his sister, how old will Richard be in 5 years?

Given: r=s-3. Question: r+5=s+2=?

(1) Two years ago Richard was twice as young as his sister --> 2*(s-3-2)=s-2 --> s=8 --> r+5=s+2=10. Sufficient.
(2) If Richard's sister were born 2 years earlier, she would now be twice as old as Richard --> if Richard's sister were born 2 years earlier she would now be s+2 years old not s-2, so s+2=2(s-3) --> s=8 --> r+5=s+2=10. Sufficient.

perfect . silly me
thanks
+kudo
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29 Apr 2012, 12:53
Bunuel wrote:
tinki wrote:
sister now : s, richard now: s-3
st 1. 2(s-3-2) = s-2
St 2. s-2=2(s-3)

Could somebody help? whats wrong with my statements and logic?
thanks

If Richard is 3 years younger than his sister, how old will Richard be in 5 years?

Given: r=s-3. Question: r+5=s+2=?

(1) Two years ago Richard was twice as young as his sister --> 2*(s-3-2)=s-2 --> s=8 --> r+5=s+2=10. Sufficient.
(2) If Richard's sister were born 2 years earlier, she would now be twice as old as Richard --> if Richard's sister were born 2 years earlier she would now be s+2 years old not s-2, so s+2=2(s-3) --> s=8 --> r+5=s+2=10. Sufficient.

Bunuel,

I have a question about 1) - When we say "Richard is twice as young as his sister" - doesn't it mean that R=2S? I am a bit confused.
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29 Apr 2012, 12:58
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Expert's post
voodoochild wrote:
Bunuel wrote:
tinki wrote:
sister now : s, richard now: s-3
st 1. 2(s-3-2) = s-2
St 2. s-2=2(s-3)

Could somebody help? whats wrong with my statements and logic?
thanks

If Richard is 3 years younger than his sister, how old will Richard be in 5 years?

Given: r=s-3. Question: r+5=s+2=?

(1) Two years ago Richard was twice as young as his sister --> 2*(s-3-2)=s-2 --> s=8 --> r+5=s+2=10. Sufficient.
(2) If Richard's sister were born 2 years earlier, she would now be twice as old as Richard --> if Richard's sister were born 2 years earlier she would now be s+2 years old not s-2, so s+2=2(s-3) --> s=8 --> r+5=s+2=10. Sufficient.

Bunuel,

I have a question about 1) - When we say "Richard is twice as young as his sister" - doesn't it mean that R=2S? I am a bit confused.

Look at this in this way, if Richard is twice as young as his sister, then Richard is less years old, so it cannot be R=2S since in this case R>S. It should be S=2R.

Hope it's clear.
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24 Aug 2012, 08:00
R=age of Rich NOW
S=age of his sister NOW

From the promt, we know that R=S+3
R+5=?
--> The information we need is: R=?

1) R=S+3 so two years before now... R-2=S+1--> What we would know according to the promt
(S+1)/2=S-2 --> what we know from the promt
THEREFORE S=5. From here we can figure out what R is. SUFFICIENT.

2) (s+2)+3=2R
R=S-3
--> (S+5)/2=S-2--> same info as (1) therefore SUFFICIENT.

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30 Aug 2012, 00:37
I did end up getting D as the answer as well. Since it is a D.S. question I did not proceed to solve for the values. As long as we have two distinct equations with 2 variables then they are solvable.

Statement (i) gives a distinct equation of s-2=2(r-2)

Statement (ii) gives a distinct equation of s+2=2r

Both of these equations can be solved with the given equation that r=s-3.

Hence both statements are sufficient. Thus D.
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30 Aug 2012, 23:09
1) R=S+3
R-2=S+1-->
S=5. SUFFICIENT.

2) (S+2)+3=2R
R=S-3
(S+5)/2=S-2. SUFFICIENT.

Answer is D. Equations work the best here.
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26 Aug 2013, 13:39
How would this be set up in an age chart?
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26 Aug 2013, 18:02
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Currently Richard's age=R and sister's age=S
Given: S-R=3...eqn(1) to find: R+5=?

1) 2(R-2)=S-2 , i.e. 2R-S=2...eqn(2) solving (1) and (2) we get R=5 sufficient
2) S+2=2R, i.e 2R-S=2....same eqn as in statement(1), we get R=5 sufficient

Hence Ans is D
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27 Aug 2013, 15:02
Bunuel wrote:
tinki wrote:
sister now : s, richard now: s-3
st 1. 2(s-3-2) = s-2
St 2. s-2=2(s-3)

Could somebody help? whats wrong with my statements and logic?
thanks

If Richard is 3 years younger than his sister, how old will Richard be in 5 years?

Given: r=s-3. Question: r+5=s+2=?

(1) Two years ago Richard was twice as young as his sister --> 2*(s-3-2)=s-2 --> s=8 --> r+5=s+2=10. Sufficient.
(2) If Richard's sister were born 2 years earlier, she would now be twice as old as Richard --> if Richard's sister were born 2 years earlier she would now be s+2 years old not s-2, so s+2=2(s-3) --> s=8 --> r+5=s+2=10. Sufficient.

Can you provide more detail in the steps of statement 1 and 2. I know you're using some shortcuts but I can't seem to follow.

Thanks,
Re: DS: Richard (m08q20)   [#permalink] 27 Aug 2013, 15:02

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# DS: Richard (m08q20)

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