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How many no of birds and animals ?

Sir / madam,
My question is

No. of animals is 11 more than the no. of birds. If the no. of birds were the no. of animals and no. of animals were the no. of birds (ie., interchanging no.s of animals and birds.), the total no. of legs get reduced by one fifth. How many no. of birds and animals were there

Advance Thanks,
R.Rengaraj
{SCE 35/2008/Pg 4 of 85}
{On this forum my 6th Question.}

Replies

  • sookie
    sookie
    Is the answer is Birds =11 and Animals=22 ?
  • yadavundertaker mohit
    yadavundertaker mohit
    let no. of animals = x
    Let no, of birds = y

    Acc to first condition

    x=y+11

    Acc to second condition

    5(2x+4y )=4(4x+2y)

    10x+20y=16x+8y
    6x-12y=0

    putting value of x from equation Ist

    6(y+11)-12y=0
    6y+66-12y=0
    6y=66

    y=11

    then x=y+11

    x=11+11=22

    No. of animals =22
    No of birds =11
  • Guttu
    Guttu
    yadavundertaker
    let no. of animals = x
    Let no, of birds = y

    Acc to first condition

    x=y+11

    Acc to second condition

    5(2x+4y )=4(4x+2y)

    10x+20y=16x+8y
    6x-12y=0

    putting value of x from equation Ist

    6(y+11)-12y=0
    6y+66-12y=0
    6y=66

    y=11

    then x=y+11

    x=11+11=22

    No. of animals =22
    No of birds =11
    Nice explanation. I wonder how many of us apply what we learn?
  • rengaraj
    rengaraj
    Sir,
    Thanks for your answer.
    R.Rengaraj
  • BigOhm
    BigOhm
    Not to be overly pedantic, but aren't birds animals?
  • gohm
    gohm
    ha, yes and so are clams, fish and locust all of which would mess up the leg count. laugh. It is a good algebraic math puzzler though!

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