# Verbal Reasoning - Arithmetic Reasoning - Discussion

### Discussion :: Arithmetic Reasoning - Section 1 (Q.No.39)

39.

A certain number of horses and an equal number of men are going somewhere. Half of the owners are on their horses' back while the remaining ones are walking along leading their horses. If the number of legs walking on the ground is 70, how many horses are there ?

 [A]. 10 [B]. 12 [C]. 14 [D]. 16

Explanation:

Let number of horses = number of men = x.

Then, number of legs = 4x + 2 x (x/2) = 5x.

So, 5X = 70 or x = 14.

 Anup said: (May 29, 2014) Why we multiply by x/2?

 Bhuvaneskumar said: (Jul 4, 2014) Because half a man is in horses back, thats why multiply by x/2.

 Kinny said: (Nov 17, 2014) Why we multiply by 4x?

 Arohi said: (Apr 3, 2015) How this 5x came?

 Muniyasamy V said: (Apr 26, 2015) See totally 70 legs. 1. Horses totally have a 4 legs. 2. Humans totally have a 2 legs. So 4x + (2*x) /2. That the simple reason.

 Pankaj Sharma said: (Feb 17, 2018) How this 5x came?

 Ganesh Z said: (Mar 1, 2018) The total num of legs comes as: Horses legs is 4 * number of horses = 4*(x). Humans leg is 2 * number of humans i.e. half of the humans, x/2 = 2*(x/2). So total number of legs are : (4*x) + (2*(x/2)) = 5x. So, we get 5x = 70.

 Albin said: (Oct 16, 2018) Here it should be, 4X + (2X)/2 = 4X + 1X =5X is correct.

 Jas said: (Apr 17, 2019) 4x+2x/2=70. 8x+2x/2=70, 10x/2=70, 70*2/10= 14.

 Maheeth said: (Jul 4, 2021) @Ganesh. Why half of the humans, why not half of the horses.

 Sherab said: (Apr 3, 2022) Here no Of horses and men is equal. So, Let's say x While half of the owner is on horses back and a half walking So total legs on the ground is 70. We know a horse has 4 legs and a man has 2 legs So 4x + 2(x/2)= 70 (here x/2 is bcoz half of the men is on horse's back while only half is walking with horses). 5x = 70 . x = 14 (horses and men).