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DS: Richard (m08q20) [#permalink]
 28 Nov 2008, 15:12
Question Stats:
87% (02:03) correct
12% (01:03) wrong based on 72 sessions
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. Source: GMAT Club Tests - hardest GMAT questions 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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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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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.
Answer: D
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D
it should be S+ 2 = 2R
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The answer is D.
The wording was very confusing.
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Re: DS: Richard (m08q20) [#permalink]
19 Aug 2010, 07:00
D, agreed the wording's a tad confusing
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Re: DS: Richard (m08q20) [#permalink]
19 Aug 2010, 07:18
D...
That was a little too easy to be question of the day..
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Re: DS: Richard (m08q20) [#permalink]
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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Re: DS: Richard (m08q20) [#permalink]
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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Re: DS: Richard (m08q20) [#permalink]
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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Re: DS: Richard (m08q20) [#permalink]
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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Re: DS: Richard (m08q20) [#permalink]
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.
Answer: D
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Re: DS: Richard (m08q20) [#permalink]
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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Re: DS: Richard (m08q20) [#permalink]
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. Answer: D.
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Re: DS: Richard (m08q20) [#permalink]
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. Answer: D. perfect . silly me thanks +kudo
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Re: DS: Richard (m08q20) [#permalink]
24 Aug 2011, 07:59
tad bit easy D
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Re: DS: Richard (m08q20) [#permalink]
25 Aug 2011, 10:46
one of the easier questions till now.
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Re: DS: Richard (m08q20) [#permalink]
19 Nov 2011, 23:22
both are sufficient...D is true
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Re: DS: Richard (m08q20) [#permalink]
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. Answer: D. 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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Re: DS: Richard (m08q20) [#permalink]
29 Apr 2012, 12:58
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. Answer: D. 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.
_________________
NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!
PLEASE READ AND FOLLOW: 11 Rules for Posting!!!
RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders
COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. NEW!!! ,11 Mixed Questions NEW!!!, 12 Fresh Meat NEW!!!
DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set. NEW!!!, 11 New DS set. NEW!!!
What are GMAT Club Tests?
25 extra-hard Quant Tests
Find out what's new at GMAT Club - latest features and updates
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Re: DS: Richard (m08q20)
[#permalink]
29 Apr 2012, 12:58
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close
