During a football game, Matt kicked the ball three times. His longest kick was 43 metres and the three kicks averaged 37 metres. If the other two kicks were the same length, the distance, in metres, that each travelled was
(A) 31
(B) 37
(C) 35
(D) 34
(E) 36
Solution 1

Matt's longest kick was 6 metres more than the average.

Thus, the other two kicks must be six metres less than the average when combined (that is, when we add up the difference between each of these kicks and the average, we get 6).

Since the other two kicks were the same length, then they each must have been 3 metres less than the average, or 34 metres each.

## Solution 2

Since Matt's three kicks averaged 37 metres, then the sum of the lengths of the three kicks was $3 \times 37=111$ metres.

Let $x$ be the length of each of the two kicks of unknown length.

Then $43+2 x=111$ or $x=34$.

ANswer: (D)