Question

There are serveral human beings and several dogs in a room. One tenth of the humans have lost a leg. The total numbers of feet are 77. Then the number of dogs is

Answer 1

Answer:

5

Explanation:

Let there be x human beings and y dogs

Therefore, total legs =2x+4y

One tenth of x human beings lost their legs  

Thus, 2x+4y−  

10

x

​  

=77

10

19x

​  

+4y=77

Both the terms,  

10

19x

​  

 and 4y must be natural numbers as they represent the number of legs of human beings and dogs respectively. Therefore, x must be a multiple of 10 for this condition to be satisfied.

By Hit and Trial Method,

when x=10

4y=58, which is not possible

when, x=20

4y=39 which is not possible

when, x=30

4y=20

y=5

when, x=40

4y=1, which is again not possible

Thus, there are 5 dogs.

Answer By

Toppr

Answer 2

Answer:

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