Question

A Horse and a Donkey both carrying a heavy loads, were walking side by
side. The horse complained of its heavy load "What are you
complaining for?" asked the donkey and said, “If I take one sack of your
back, my load will become twice as heavy as yours. But if you remove
one sack from my back, your load will be same as mine”. How many
sacks was the donkey carrying?
A:- 7
B:- 6
C:- 5
D:- None of the above.​

Answer 1

Answer:

I think it is A one option 7

Answer 2

Let mule and donkey carry x sacks and y sacks respectively.

Then the two statements mean:

If you give me one of your sacks, then I would have twice as many as you (i.e. if the mule

had one more and the donkey one less, the mule would have twice as many as donkey).

x + 1 = 2 (y - 1) = x - 2y + 3 = 0............... (1)

If I give you a sack, our loads would be equal (i.e. if the mule had one less and the

donkey one more, they would have the same number of sacks).

x - 1 = y + 1 = x - y - 2 = 0.........................(2)

Subtracting (i) from (ii), we get

y - 5 = 0 => y = 5.

Substituting y = 5 in (ii), we get

x - 5 - 2 = 0 = x = 7.

Hence, the mule was carrying 7 sacks and the donkey 5 sacks.