**Puzzle Of Maths - 11 April**

In a stable there are men and horses. In all, there are 22 heads and 72 feet. How many men and how many horses are in the stable

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In a stable there are men and horses. In all, there are 22 heads and 72 feet. How many men and how many horses are in the stable

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men 8

ReplyDeletehorses 16

Nils Ingar Arvidsen

14 horses and 8 men..

ReplyDeleteEach having 1 head so total 22 heads

18 horses ,4 men

ReplyDeleteIf, A --> men and B --> horses

ReplyDeleteSo, A + B = 22 and 2A + 4B = 72

2 (22 - B) + 4 B = 72

44 - 2 B + 4 B = 72

44 + 2 B = 72

2 B = 72 - 44 = 28

B = 14 (horses)

So, there are in the stable 8 men and 14 horses.

Well done. You are really good in maths and algebra.

Delete8 Men

Delete14 Horses

excellent and complete answer

Delete:)

8 men & 14 Horses

Delete8 men, 14 horses

ReplyDelete8 men n 14 horses

ReplyDelete14 horses 8 men

ReplyDeletelet heads of men and horses be x and y.

ReplyDeletex+y=22 -1,2x+4y=72. -2

multiply x+y=22 by 2.

2x+2y=44. -3

now subract 3 from 2,

2y=32,y=32/2,y=16.

put y=16 in 2,2x+4[16]=72,2x+64=72,2x=72-64,2x=8,x=8/2,x=4.

hence man in the stable are 4,horses are 16.

men is A and horse is B

ReplyDeleteHead 22 is ==> A+B = 22 -----(1)

LEGS 72 IS ==> 2A+4B = 72 -----(2)

(1) MULTIPLE WITH 4

4A+4B=22

(1) MINS OF (2)

4A+4B = 88

2A+4B = 72 (-)

-------------------

2A = 16

A = 16/2 = 8 THEREFORE B IS

A + B = 22

8+B = 22

B = 22-8

B= 14

SO 8 MEN AND 22 HORSES

Close, but no cigar. There are 22-8 horses, or 14 horses. Oh, that was so close ... Ha, ha, ha.

DeleteThere are 14 horses &8 mens

ReplyDelete