# 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?

Nov 4, 2016

The score for each of the three darts was $\left\{10 , 15 , 20\right\}$

#### 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

$15 \times 3 = 45$

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 $\left\{10 , 15 , 20\right\}$