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  • How many no of birds and animals ?

    rengaraj

    Member

    Updated: Oct 26, 2024
    Views: 1.1K
    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.}
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  • sookie

    MemberNov 12, 2009

    Is the answer is Birds =11 and Animals=22 ?
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  • yadavundertaker mohit

    MemberNov 12, 2009

    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
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  • Guttu

    MemberNov 13, 2009

    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?
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  • rengaraj

    MemberNov 13, 2009

    Sir,
    Thanks for your answer.
    R.Rengaraj
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  • BigOhm

    MemberNov 14, 2009

    Not to be overly pedantic, but aren't birds animals?
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  • gohm

    MemberNov 14, 2009

    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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