A horse and a camel were carrying boxes on their backs.
The horse started complaining to the camel that his load is too heavy.
The camel replied ‘Why are you complaining? If you gave me one of your boxes I would have double what you have and if I give you one of my boxes we two would have an even load.’
How many boxes are been carried by the horse & the camel?
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From the given statements we can write 2 equations;
Let’s assume that the horse was carrying H boxes and the camel was carrying C boxes.
Equation 1: C + 1 = 2 * (H-1)
Equation 2: C – 1 = H + 1
Solving equation 1 we get
C + 1 = 2 * (H-1)
C + 1 = 2H – 2
C = 2H – 3 ……..(a)
Solving equation 2 we get;
C – 1 = H + 1
C = H + 2 ……..(b)
From (a) and (b)
2H – 3 = H + 2
Therefore, H = 5
Putting the value of H in (b) we get
C = H + 2 = 5 + 2 = 7
So, C = 7
Therefore, the Horse is carrying 5 boxes and the camel is carrying 7 boxes.