Question : Directions: In a group of equal numbers of cows and herdsmen, the number of legs was 28 less than four times the number of heads. The number of herdsmen was?
Option 1: 7
Option 2: 28
Option 3: 21
Option 4: 14
Correct Answer: 14
Solution :
Here, Number of cows = Number of herdsmen = X
Let the total no. of legs = L and the total no. of heads = H
A cow has 4 legs and a herdsman has 2 legs.
So, the total number of legs, L = 4X + 2X = 6X
Total number of heads, H = X + X = 2X
Now, according to the given statement, L = 4H – 28
⇒ 6X = 4 (2X) – 28
⇒ 6X = 8X – 28
⇒ 2X = 28
⇒ X = 14
So, the total number of herdsmen is 14. Hence, the fourth option is correct.
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