8. 19 oxen, 1 sheep, 80 ducks; one solution.

4. The mean distances are as P3 : pt.

5. 3784.

4. A gives 11 sixpences, and receives 2 fourpenny

pieces.

3

(ii) x=y=∞, x=-y=: (1 ± 3 √ − 1).

10

(1 ± √1 + 4n - 4n2).

8. If the weights are placed in the same scale, the number required will be 9, for

475=35+2.34 +2.33 +32 +2.3+1.

(iii) x=1, y=1, z=3, and three other solutions.

1; ±(a2-b2); 3, 6, 12,...... or -9, 18, -36,......

5. 1; ±