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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)

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.

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.

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.

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.

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.

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.

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.
_________________

My attempt to capture my B-School Journey in a Blog : tranquilnomadgmat.blogspot.com

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

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.

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,

gmatclubot

Re: DS: Richard (m08q20)
[#permalink]
27 Aug 2013, 14:02