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### Puzzle Of Maths

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

1. men 8
horses 16
Nils Ingar Arvidsen

2. 14 horses and 8 men..

3. 18 horses ,4 men

4. If, A --> men and B --> horses

So, 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.

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

2. 8 Men
14 Horses

:)

4. 8 men & 14 Horses

5. 8 men, 14 horses

6. 8 men n 14 horses

7. 14 horses 8 men

8. let heads of men and horses be x and y.
x+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.

9. men is A and horse is B
Head 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

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

10. There are 14 horses &8 mens