Find the order of the ages from youngest to oldest given these statements?

[lookingforhelp]

Hi guys, first time here, sorry if this is in the wrong category
A,B,C, and D are four people with different birthdays playing a doubles game of volleyball. Find the order of their ages (ie youngest->oldest) and who are partners.
1) D is younger than B
2) C is older than either opponent
3) D is older than their partner
4) The sum of A's and B's age is greater than the sum of C's and D's ages.

[FONT=Helvetica Neue, Helvetica, Arial, san-serif]What I'm thinking so far is that D younger than B because of 1) then C? I'm not really sure how to go about solving this. Thanks for any help.[/FONT]

 

[HallsofIvy]

Hi guys, first time here, sorry if this is in the wrong category
A,B,C, and D are four people with different birthdays playing a doubles game of volleyball. Find the order of their ages (ie youngest->oldest) and who are partners.
1) D is younger than B
2) C is older than either opponent
3) D is older than their partner
4) The sum of A's and B's age is greater than the sum of C's and D's ages.

What I'm thinking so far is that D younger than B because of 1) then C? I'm not really sure how to go about solving this. Thanks for any help.

By (1) and (3) D is neither youngest nor oldest. By (2), C is either oldest or second oldest. By (4) C cannot be oldest. It then follows that C is second oldest and D is third oldest. Because of (1), B must be oldest and A youngest.

 

[lookingforhelp]

Thanks

By (1) and (3) D is neither youngest nor oldest. By (2), C is either oldest or second oldest. By (4) C cannot be oldest. It then follows that C is second oldest and D is third oldest. Because of (1), B must be oldest and A youngest.

Thank you for the help!