1.

In A Group Of Ducks And Cows, The Total Number Of Legs Is 2828 More Than Twice The Number Of Heads. Find The Total Number Of Cows?

Answer»

Let NUMBER of DUCKS =d=d

Number of COWS =c=c

Then, total number of legs =2d+4c=2d+4c

Total number of heads =d+c=d+c

GIVEN that total number of legs is 2828 more than twice the number of heads

⇒2d+4c=28+2(d+c)⇒2c=28⇒c=14⇒2d+4c=28+2(d+c)⇒2c=28⇒c=14

i.e., total number of cows =14.

Let number of ducks =d=d

Number of cows =c=c

Then, total number of legs =2d+4c=2d+4c

Total number of heads =d+c=d+c

Given that total number of legs is 2828 more than twice the number of heads

⇒2d+4c=28+2(d+c)⇒2c=28⇒c=14⇒2d+4c=28+2(d+c)⇒2c=28⇒c=14

i.e., total number of cows =14.


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