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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

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15 comments:

  1. men 8
    horses 16
    Nils Ingar Arvidsen

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  2. 14 horses and 8 men..
    Each having 1 head so total 22 heads

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  3. 18 horses ,4 men

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  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.

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

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    2. 8 Men
      14 Horses

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    3. excellent and complete answer
      :)

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    4. 8 men & 14 Horses

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  5. 8 men, 14 horses

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  6. 8 men n 14 horses

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  7. 14 horses 8 men

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  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.

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  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

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

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  10. There are 14 horses &8 mens

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