Extra Terrestrial Puzzle - Solution
The Puzzle:
On the planet Glogg, the inhabitants are similar to human beings, however they differ in one respect -
they either have 3 heads and the normal amount of arms and legs (known as HEADERS) OR
they have one head and 3 legs and 3 arms (known as LEGGERS).
Last week, I was talking to a group of friends from the planet and between them they had 15 heads and 48 limbs. How many headers and how many leggers were there?
Our Solution:Headers have 3 heads and 4 limbs (arms & legs).
Leggers have 1 head and 6 limbs.
Between all my Glogg friends there were 15 heads and 48 limbs, so we can say:
Number of Heads: Headers × 3 + Leggers = 15
Number of Limbs: Headers × 4 + Leggers × 6 = 48
Solution:
Headers = 3
Leggers = 6
So there were 3 Headers (9 heads + 12 limbs) and 6 Leggers (6 heads + 36 limbs).
Leggers have 1 head and 6 limbs.
Between all my Glogg friends there were 15 heads and 48 limbs, so we can say:
Number of Heads: Headers × 3 + Leggers = 15
Number of Limbs: Headers × 4 + Leggers × 6 = 48
Solution:
Headers = 3
Leggers = 6
So there were 3 Headers (9 heads + 12 limbs) and 6 Leggers (6 heads + 36 limbs).
Puzzle Author: Stephen Froggatt