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Answer:
Start from the 1L on the fifth row down and second column across.

Puzzle 94

My first is in kendo but not in Olympics.
My second is in hurdles and in hunting.
My third is in bowman and in bowling.
My fourth is in cycling and in golf.
My fifth is in flying and not in swimming.
My last is in running and not in dancing.
My whole is a sport.

Answer: Daniel is 7 years old and Jessica is 4 years old.

The first half of the question involves Daniel (D) and Alan (A).

Daniel is currently one fifth of Alan's age, so:

A = D x 5 (1)

In 21 years time, Alan will be twice his age, so:

A + 21 = (D + 21) x 2 (2)

Using (1) in (2) gives:

A + 21 = (D + 21) x 2

5D + 21 = (D + 21) x 2

5D + 21 = 2D + 42

3D = 21

D = 7

So Daniel is 7 (and Alan is 35).

The second half of the question involves Jessica (J) and Betty (B).

Betty's is exactly seven times the age of Jessica:

B = J x 7 (3)

In 8 years time, Betty will be three times the age of Jessica, so:

B + 8 = (J + 8) x 3 (4)

Using (3) in (4) gives:

B + 8 = (J + 8) x 3

7J + 8 = (J + 8) x 3

7J + 8 = 3J + 24

4J = 16

J = 4

So Jessica is 4 (and Betty is 28). QED.

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