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A man has some hens and cows. If the number of heads be 48 and the number of feet be 140, how many cows are there?

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This question is taken from linear equations in two variables in which we have to find the number of cows if man has some cows and hens and their number of heads is 48 and their number of feet is 140.

Kindly solve the above problem by using the properties of linear equations

RS Aggarwal, Class 10, chapter 3F, question no 12


1 Answer

  1. ​Let the number of hens and cow be x and y respectively. 

    As per the question

    x + y = 48 …….(i) 

    2x + 4y = 140 

    x + 2y = 70 …….(ii)  Subtracting (i) from (ii), we have 

    y = 22

    Hence, the number of cows is 22.

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