[X] Privacy Policy + T&C We use cookies to personalise our content and ads, and for traffic analysis. Information about your use of our site is shared with our advertising and analytics providers. You also agree to our T&C.
 [X] Common Answers Have you entered November's Common Answers?

Puzzle - Answer

During a recent BrainBashers thinking contest, the total number of points scored by the first six players was 103 and every score was above zero.

The first player scored half the points of the second player, who in turn scored 6 points fewer than the third player.

The third player in turn scored two thirds the points of the fourth player.

The fifth player managed to score the same number of points as the difference between the first and fourth player's points.

Finally, the sixth player scored 14 fewer than the fifth player.

Can you determine how many points the sixth player managed to score?

[Ref: ZRIL] © Kevin Stone

Answer: 9 points.

Respectively the scores were 7, 14, 20, 30, 23, 9.

If the six player were A, B, C, D, E and F we know that:

A + B + C + D + E + F = 103     [1]

and

A = B ÷ 2
B = C - 6
C = D x 2 ÷ 3
E = D - A             (see note at end)
F = E - 14

Since D is the letter we're missing information for, it's best to find all of the other letters in terms of D. These steps are left as an exercise, but the result is:

A = (2D - 18) ÷ 6
B = (2D - 18) ÷ 3
C = 2D ÷ 3
E = (2D + 9) ÷ 3
F = (2D - 33) ÷ 3

We can then use these all in [1] to find that D = 30. Which allows us to find F = 9. QED.

Small note: if we chose E = A - D (instead of E = D - A) we'd end up with a negative value for E, which isn't allowed.

Back to the puzzles...

Top 10 Illusions

 Shadow Illusion Level Balance? Same Length Red Lines? Spinning Dancer Purple Nurple

We use cookies to personalise our content and ads, and for traffic analysis. Information about your use of our site is shared with our advertising and analytics providers. For more information please view our privacy policy. By using the site you also agree to our terms and conditions.