# 3 golf holes

• Oct 20th 2009, 08:53 PM
Wilmer
3 golf holes
3 Golf Holes
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A B C just completed 3 holes of golf; a par3, par4 and par5.
Hole scores ranged from a birdie (like 4 on the par5)
to double-bogeys (like 7 on par5).

A got three different scores on each hole.
B got three different scores on each hole.
C got three different scores on each hole.
Also, there was no tied scores on any hole.

1- B won par3 but came last on par5
2- A won par4; total scores on par4 < 13
3- C had lower score on par4 than par3

What were the scores on each hole?
• Oct 21st 2009, 08:28 AM
Soroban
Helloo, Wilmer!

I came up with two solutions.
Did I miss something?

Quote:

3 Golf Holes

$\displaystyle A, B, C$ completed 3 holes of golf: a Par 3, Par 4 and Par 5.
Hole scores ranged from a birdie (like 4 on the par5)
to double-bogeys (like 7 on par5).

$\displaystyle A$ got different scores on each hole.
$\displaystyle B$ got different scores on each hole.
$\displaystyle C$ got different scores on each hole.
Also, there was no tied scores on any hole.

1. $\displaystyle B$ won Par 3, but came last on Par 5.
2. $\displaystyle A$ won Par 4.
3. Total scores on Par 4 < 13.
4. $\displaystyle C$ had a lower score on Par 4 than Par 3

What were the scores on each hole?

. . $\displaystyle \begin{array}{c||c|c|c|} & \text{Par 3} & \text{Par 4} & \text{Par 5} \\ \hline \hline A & 4 & 3 & 5 \\ \hline B & {\color{red}2,3} & 5 & 7 \\ \hline C & 5 & 4 & 6 \\ \hline \end{array}$

• Oct 21st 2009, 12:10 PM
Wilmer
Hole scores ranged from a birdie (like 4 on the par5)
to double-bogeys (like 7 on par5).
• Oct 25th 2009, 08:32 PM
pflo
Quote:

Originally Posted by Wilmer