Random Puzzles 

Workings

Hint
You have to highlight three numbers.

Answer
6 + 1 + 12 = 19.

The puzzle didn't ask for three digits to be highlighted!

Workings

Hint
Start by looking at clue (5), and then at the first part of clue (6).

Answer
# Name   Wore  Colour
1 Gary   2     red
2 Larry  3     green
3 Barry  1     yellow
4 Harry  4     blue

Reasoning
By (5), the winner wore #2, and Harry finished last:
   # Name   Wore  Colour
   1        2
   2
   3
   4 Harry

By (6), the person who finished second wore green, and by (4), wore #3:
   # Name   Wore  Colour
   1        2
   2        3     green
   3
   4 Harry

By (1), only the person in last place could have worn the same number as the position they finished:
   # Name   Wore  Colour
   1        2
   2        3     green
   3        1
   4 Harry  4

By (3), Gary didn't wear green (so can't have finished second) and beat Barry (so can't have finished third), which means that he must have finished first.
   # Name   Wore  Colour
   1 Gary   2
   2        3     green
   3        1
   4 Harry  4

By (6), Barry wore yellow, so must have finished third:
   # Name   Wore  Colour
   1 Gary   2
   2        3     green
   3 Barry  1     yellow
   4 Harry  4

By (6) the person wearing red beat the person wearing blue, giving:
   # Name   Wore  Colour
   1 Gary   2     red
   2 Larry  3     green
   3 Barry  1     yellow
   4 Harry  4     blue

Workings

Hint
The answer isn't a whole number of years, and algebra might be required.

Answer
29 years 2 months.

Reasoning #1
This answer is taken directly from the original book.

The age of Mamma must have been 29 years 2 months; that of Papa, 35 years; and that of the child, Tommy, 5 years 10 months. Added together, these make seventy years. The father is six times the age of the son, and, after 23 years 4 months have elapsed, their united ages will amount to 140 years, and Tommy will be just half the age of his father.

Reasoning #2
Here's my answer, with a little algebra.

If we call Tommy T, Mamma M and Papa P we can see that:

"our three ages add up to exactly seventy years" gives us:

(1)   T + M + P = 70

"Just six times as old as you" gives us:

(2)   P = 6 x T

In an unknown number of years (Y) "Shall I ever be half as old as you" gives us:

(3)   P + Y = 2 x (T + Y)

and "our three ages will add up to exactly twice as much as today" gives us:

   (T + Y) + (M + Y) + (P + Y) = 140

which can be written as

(4)   T + M + P + 3Y = 140

We can see from (4) and (1) that

     3Y = 70

so

(5)   Y = 70 ÷ 3

Using (2) and (5) in (3) we have

            P + Y = 2 x (T + Y)

   6 x T + 70 ÷ 3 = 2 x (T + 70 ÷ 3)

            4 x T = 70 ÷ 3

(6)             T = 70 ÷ 12

We can now use (6) in (2) to see that:

   P = 6 x T

   P = 6 x 70 ÷ 12

   P = 70 ÷ 2

And using the values for T and P in (1) we have:

              T + M + P = 70

   70 ÷ 12 + M + 70 ÷ 2 = 70

Multiply throughout by 12 to give:

   70 + 12 x M + 420 = 840

              12 x M = 840 – 420 – 70

              12 x M = 350

                   M = 350 ÷ 12

So:

   Tommy = 70 ÷ 12   = 5.83333  = 5 years 10 months.
   Papa  = 70 ÷ 2    = 35       = 35 years.
   Mamma = 350 ÷ 12  = 29.1666  = 29 years 2 months.

Workings

Hint
The country spans more than one word.

Answer
Canada.

If a Dalmatian dog can catch five balls in five minutes, four balls in four minutes, and three balls in three minutes, CAN A DAlmatian dog catch two balls in two minutes?