Three darts hit a dartboard. If lowest score was #10#, range is #10# and mean of scores is #15#, what was the score for each of the three darts?

1 Answer
Nov 4, 2016

Answer:

The score for each of the three darts was #{10,15,20}#

Explanation:

Lowest score was #10#

As range was #10#, the difference between lowest and highest score is #10# and as lowest score is #10#, highest score is #10+10=20#.

As the mean of three scores was #15#, sum of three scores was

#15xx3=45#

Now two readings are #10# and #20#, hence third reading is

#45-10-20=15#.

Hence, the score for each of the three darts was #{10,15,20}#