Age Old Question

A is younger than B and older than C.

That sentence basically means A and B cannot be the youngest (because they are both older than C). Thus, from the first five statements, we can eliminate all of the given people except Edward and Harry. Using the last sentence, we can deduce that Harry is not the youngest, so Edward is the youngest.

Note: We don't need to find the exact order of the people to solve the problem, although if there is no consistent ordering of them, it's meaningless to speak about the youngest person (because the problem is false).

According to their ages, in descending order -

Barry, Fred, Harry, Dave, George, Ian, Alan, Colin, John, Edward

So Edward is the youngest one.

It's a really simple question. You can find the answer from question

Dave is younger than Fred and older than George. Alan is younger than Ian and older than Colin. Ian is younger than George and older than John. John is younger than Colin and older than Edward . Fred is younger than Barry and older than Harry. Harry is older than Dave

(I'm adding this solution just in case anyone needs a more detailed explanation, so don't mind my long-windedness!) The possible answers are Fred, Dave, Ian, Alan, George, Colin, John, Barry, Fred, Harry, and Edward. This problem can be solved using the process of elimination. The youngest boy is the one who is not older than anyone. Each statement either tells us that one boy is older than another or that one boy is younger than another. The statements that say which boy is younger can be rephrased to say which boy is older and the older boy in each statement can be eliminated until only the youngest boy is remaining. The first sentence says that Dave is younger than Fred and older than George. This means Fred is older than Dave, so Fred is not the youngest. It also means Dave is older than George, so George is not the youngest. The second sentence says that Alan is younger than Ian and older than Colin. This means Ian is older than Alan, so Ian is not the youngest. It also means Alan is older than Colin, so Alan is not the youngest. The next sentence says Ian is younger than George and older than John. Therefore George is older than Ian and not the youngest. This also means that Ian is older than John, but Ian has already been eliminated and this does not eliminate John. The next sentence says that John is younger than Colin and older than Edward. That means Colin is older than John, so he is not the youngest. It also means John, who we now know is older than Edward, is not the youngest. The sentence after that tells us that Fred is younger than Barry and older than Harry. Therefore Barry is older than Fred, so Barry is not the youngest. And Fred, who is older than Harry, is not the youngest, either. Now the only two possible boys left for the youngest are Harry and Edward. The last sentence says simply that Harry is older than Dave, so that immediately tells us that Harry is not the youngest and therefore Edward is, so the answer is Edward.

Use initial to represent the person. Put the order one on the right. The from the statements:

1) Dave is younger than Fred and older than George. $\Rightarrow GDF$

2) Alan is younger than Ian and older than Colin. $\Rightarrow CAI$

3) Ian is younger than George and older than John. $\Rightarrow JIG$

3.1) Combine it with statement 1: $\Rightarrow JIGDF$

4) John is younger than Colin and older than Edward. $\Rightarrow EJC$

4.1) Combine it with statement 2: $\Rightarrow EJCAI$

4.2) Combine it with statement 3.1: $\Rightarrow EJCAIGDF$

5) Fred is younger than Barry and older than Harry. $\Rightarrow HFB$

6) Harry is older than Dave. $\Rightarrow DH$

6.1) Combine it with statement 5: $\Rightarrow DHFB$

6.2) Combine it with statement 4.2: $\Rightarrow EJCAIGDHFB$

The sequencing completes (program ends) and the youngest is $\boxed{Edward}$ .

B > F > H > D > G > I > A > C > J > E

For the simplest way of understanding the solution:

Barry - oldest Fred Harry Dave George Ian & Colin John Edward - youngest

EJCAIGDHFB

Edward is the youngest we get according to the conditions

Edward is the only one that the problem does not say he is older than anyone.

the true sequence is barry,fred,harry,dave,ge0rge,ian,allen,collin,john,edward

Rewrite the problem and sort it out through this order

Harry>Dave Fred <Bary Fred>Harry Dave<Fred Dave>George Ian<George Ian>John Alan>Colin John<Colin Alan<Ian John>Edward

"Dave is younger than Fred" - so Fred>Dave

"and older then George." - Dave>George.. so Fred>Dave>George. [1]

..

"Alan is younger than Ian" - so Ian>Alan

"and older than Colin." Alan>Colin.. so Ian>Allan>Colin [2]

..

"Ian is younger than George" - George>Ian.. so we can put [1] under [2] to be (Fred>Dave>((George)>(Ian))>Alan>Colin) [1 & 2]

"and older than John." John is younger than Ian but may be older or younger than Alan or Collin.

..

"John is younger than Collin" - this explains it; Ian>Alan>Colin>John

"and older than Edward." John>Edward --> Ian>Alan>Colin>John>Edward

..

"Fred is younger than Barry" - In [1] we can state that Barry>Fred>Dave>George.

"and older than Harry." we can't yet tell anything about Harry except that he's somewhere below Fred.

..

"Harry is older than Dave." Now we can! Barry>Fred>HARRY>Dave>George

..

So it's finally:

Barry>Fred>Harry>Dave>George>Ian>Alan>Colin>John>(Edward)

So Edward is the youngest.

It's better to put your thoughts in such a question on a piece of paper to solve it easier. :)

bary,fred,hary,dave,george,lan,alan,colin,john,edward.edward is youngest

According to the whole story Barry is the oldest and Edward is the youngest!

Edward is the youngest!

Names from older to younger are as follows: Barry, Fred, Harry, Dave, George, Ian, Alan, Colin, John, Edward.

As it is clearly mentioned that edward is not older than anybody

Barry Fred Harry Dave George Ian Alan Colin John Edward

edward is yongest one

barry> fred >harry> dave >george >ian >alan >colin >john >edward

Edward, he is older than no one and no one is younger than him.

Define:

Dave = D Fred = F George =G Alan =A Ian =I Colin =C John = J Edward =E Barry = B Harry =H

so D<F & D>G A<I & A>C I<G & I>J J<C & J>E F<B & F>H H>D

its similar B>F>H>D>G>I>A>C> J> E

.:. Edward is the youngest

Dave < Fred, Dave > George, Alan < Ian, Alan > Colin, John < Colin, John > Edward, Fred < Barry, Fred > Harry, Harry > Dave

In crescenting order: Edward, John, Colin, Alan, Ian, George, Dave, Harry, Fred, Barry.

solution g<d<f c<a<i i<g i>j e<j<c h<f<b h>d iterating and get e<j<c<a<i<g<d<h<f<b

ACCORDANCE THEIR RESPECTIVE AGES

D<F (<)

D>G (>)

A<I (<)

A>C (>)

I<G (<)

I>J (>)

J<C (<)

J>E (>)

F<B (<)

F>H (>)

H>D (HERE B,F,H,D,G,I,A,C,J,E ARE REPRESENTATION OF Barry, Fred, Harry, Dave, George, Ian, Alan, Colin, John, Edward)

SO THE AGES IN DESCENDING ORDER ARE

Barry, Fred, Harry, Dave, George, Ian, Alan, Colin, John, Edward

SO EDWARD IS THE YOUNGEST.